Algebra Examples

Solve in Terms of the Arbitrary Variable x
,
Step 1
Solve the equation for .
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Move all terms not containing to the right side of the equation.
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Add to both sides of the equation.
Subtract from both sides of the equation.
Divide each term in by and simplify.
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Divide each term in by .
Simplify the left side.
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Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify the right side.
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Simplify each term.
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Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Move the negative in front of the fraction.
Step 2
Solve the equation for .
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Simplify .
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To write as a fraction with a common denominator, multiply by .
Simplify terms.
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Combine and .
Combine the numerators over the common denominator.
Simplify each term.
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Simplify the numerator.
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Factor out of .
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Raise to the power of .
Factor out of .
Factor out of .
Factor out of .
Multiply by .
Subtract from .
Move to the left of .
Move the negative in front of the fraction.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Add and .
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Reorder and .
Add and .
Add to both sides of the equation.
Multiply both sides of the equation by .
Simplify both sides of the equation.
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Simplify the left side.
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Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Simplify the right side.
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Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Step 3
Simplify the right side.
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Simplify .
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Simplify each term.
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Combine and .
Multiply by .
Reduce the expression by cancelling the common factors.
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Reduce the expression by cancelling the common factors.
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Factor out of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Multiply by .
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
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Factor out of .
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Raise to the power of .
Factor out of .
Factor out of .
Factor out of .
Multiply by .
Subtract from .
Reduce the expression by cancelling the common factors.
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Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Simplify the expression.
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Move to the left of .
Move the negative in front of the fraction.
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