Algebra Examples

Solve by Factoring x^3-x=0
Step 1
Factor out of .
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Step 1.1
Factor out of .
Step 1.2
Factor out of .
Step 1.3
Factor out of .
Step 2
Rewrite as .
Step 3
Factor.
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Step 3.1
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 3.2
Remove unnecessary parentheses.
Step 4
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Step 5
Set equal to .
Step 6
Set equal to and solve for .
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Step 6.1
Set equal to .
Step 6.2
Subtract from both sides of the equation.
Step 7
Set equal to and solve for .
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Step 7.1
Set equal to .
Step 7.2
Add to both sides of the equation.
Step 8
The final solution is all the values that make true.