Solve for x x^4-2x^3-x^2+2x=0

Solve for x x^4-2x^3-x^2+2x=0
Factor the left side of the equation.
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Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
Factor out the greatest common factor (GCF) from each group.
Factor the polynomial by factoring out the greatest common factor, .
Rewrite as .
Factor.
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Factor.
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Since both terms are perfect squares, factor using the difference of squares formula, where and .
Remove unnecessary parentheses.
Remove unnecessary parentheses.
Set equal to and solve for .
Set equal to and solve for .
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Set the factor equal to .
Add to both sides of the equation.
Set equal to and solve for .
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Set the factor equal to .
Subtract from both sides of the equation.
Set equal to and solve for .
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Set the factor equal to .
Add to both sides of the equation.
The solution is the result of and .
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