Algebra Examples

Solve in Terms of the Arbitrary Variable x
,
Step 1
Solve the equation for .
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Step 1.1
Move all terms not containing to the right side of the equation.
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Step 1.1.1
Subtract from both sides of the equation.
Step 1.1.2
Subtract from both sides of the equation.
Step 1.2
Divide each term in by and simplify.
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Step 1.2.1
Divide each term in by .
Step 1.2.2
Simplify the left side.
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Step 1.2.2.1
Cancel the common factor of .
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Step 1.2.2.1.1
Cancel the common factor.
Step 1.2.2.1.2
Divide by .
Step 1.2.3
Simplify the right side.
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Step 1.2.3.1
Simplify each term.
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Step 1.2.3.1.1
Dividing two negative values results in a positive value.
Step 1.2.3.1.2
Dividing two negative values results in a positive value.
Step 2
Solve the equation for .
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Step 2.1
Simplify .
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Step 2.1.1
Simplify each term.
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Step 2.1.1.1
Apply the distributive property.
Step 2.1.1.2
Combine and .
Step 2.1.1.3
Multiply .
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Step 2.1.1.3.1
Combine and .
Step 2.1.1.3.2
Multiply by .
Step 2.1.1.4
Simplify each term.
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Step 2.1.1.4.1
Move the negative in front of the fraction.
Step 2.1.1.4.2
Move the negative in front of the fraction.
Step 2.1.2
To write as a fraction with a common denominator, multiply by .
Step 2.1.3
Simplify terms.
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Step 2.1.3.1
Combine and .
Step 2.1.3.2
Combine the numerators over the common denominator.
Step 2.1.3.3
Combine the numerators over the common denominator.
Step 2.1.4
Move to the left of .
Step 2.1.5
Subtract from .
Step 2.1.6
To write as a fraction with a common denominator, multiply by .
Step 2.1.7
Simplify terms.
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Step 2.1.7.1
Combine and .
Step 2.1.7.2
Combine the numerators over the common denominator.
Step 2.1.8
Simplify the numerator.
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Step 2.1.8.1
Move to the left of .
Step 2.1.8.2
Subtract from .
Step 2.2
Set the numerator equal to zero.
Step 2.3
Solve the equation for .
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Step 2.3.1
Subtract from both sides of the equation.
Step 2.3.2
Divide each term in by and simplify.
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Step 2.3.2.1
Divide each term in by .
Step 2.3.2.2
Simplify the left side.
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Step 2.3.2.2.1
Cancel the common factor of .
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Step 2.3.2.2.1.1
Cancel the common factor.
Step 2.3.2.2.1.2
Divide by .
Step 2.3.2.3
Simplify the right side.
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Step 2.3.2.3.1
Dividing two negative values results in a positive value.
Step 3
Simplify the right side.
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Step 3.1
Simplify .
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Step 3.1.1
Combine the numerators over the common denominator.
Step 3.1.2
Combine and .
Step 3.1.3
To write as a fraction with a common denominator, multiply by .
Step 3.1.4
Simplify terms.
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Step 3.1.4.1
Combine and .
Step 3.1.4.2
Combine the numerators over the common denominator.
Step 3.1.5
Simplify the numerator.
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Step 3.1.5.1
Move to the left of .
Step 3.1.5.2
Add and .
Step 3.1.6
Multiply the numerator by the reciprocal of the denominator.
Step 3.1.7
Cancel the common factor of .
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Step 3.1.7.1
Factor out of .
Step 3.1.7.2
Cancel the common factor.
Step 3.1.7.3
Rewrite the expression.
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