Algebra Examples

Solve in Terms of the Arbitrary Variable x
,
Solve the equation for .
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Move all terms not containing to the right side of the equation.
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Since does not contain the variable to solve for, move it to the right side of the equation by subtracting from both sides.
Since does not contain the variable to solve for, move it to the right side of the equation by subtracting from both sides.
Multiply each term in by
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Multiply each term in by .
Simplify .
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Multiply by to get .
Multiply by to get .
Simplify each term.
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Multiply by to get .
Multiply by to get .
Solve the equation for .
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Simplify the left side.
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Simplify each term.
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Apply the distributive property.
Multiply by to get .
Multiply by to get .
Simplify by adding terms.
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Remove unnecessary parentheses.
Subtract from to get .
Add and to get .
Since does not contain the variable to solve for, move it to the right side of the equation by adding to both sides.
Divide each term by and simplify.
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Divide each term in by .
Simplify the left side of the equation by cancelling the common factors.
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Reduce the expression by cancelling the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Move the negative one from the denominator of .
Simplify the expression.
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Multiply by to get .
Rewrite as .
Move the negative in front of the fraction.
Simplify the right side.
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Simplify each term.
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Simplify .
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Multiply by to get .
Write as a fraction with denominator .
Multiply and to get .
Multiply by to get .
Move the negative in front of the fraction.
Multiply by to get .
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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Combine.
Multiply by to get .
Combine the numerators over the common denominator.
Simplify the numerator.
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Factor out of .
Multiply by to get .
Multiply by to get .
Multiply by to get .
Subtract from to get .
Simplify the expression.
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Move to the left of the expression .
Move the negative in front of the fraction.
Multiply by to get .
Multiply by to get .
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