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

Factor out of .

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.

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.

Factor.

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 the factor equal to .

Add to both sides of the equation.

Set the factor equal to .

Subtract from both sides of the equation.

Set the factor equal to .

Add to both sides of the equation.

The solution is the result of and .

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