Basic Math Examples

Solve for z 8/(z-2)=(z+2)/4
Step 1
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
Step 2
Solve the equation for .
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Step 2.1
Rewrite the equation as .
Step 2.2
Simplify .
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Step 2.2.1
Expand using the FOIL Method.
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Step 2.2.1.1
Apply the distributive property.
Step 2.2.1.2
Apply the distributive property.
Step 2.2.1.3
Apply the distributive property.
Step 2.2.2
Simplify terms.
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Step 2.2.2.1
Combine the opposite terms in .
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Step 2.2.2.1.1
Reorder the factors in the terms and .
Step 2.2.2.1.2
Subtract from .
Step 2.2.2.1.3
Add and .
Step 2.2.2.2
Simplify each term.
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Step 2.2.2.2.1
Multiply by .
Step 2.2.2.2.2
Multiply by .
Step 2.3
Multiply by .
Step 2.4
Move all terms not containing to the right side of the equation.
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Step 2.4.1
Add to both sides of the equation.
Step 2.4.2
Add and .
Step 2.5
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 2.6
Simplify .
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Step 2.6.1
Rewrite as .
Step 2.6.2
Pull terms out from under the radical, assuming positive real numbers.
Step 2.7
The complete solution is the result of both the positive and negative portions of the solution.
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Step 2.7.1
First, use the positive value of the to find the first solution.
Step 2.7.2
Next, use the negative value of the to find the second solution.
Step 2.7.3
The complete solution is the result of both the positive and negative portions of the solution.