# Solve for x x to the power of four minus four x to the power of three minus x to the power of two plus four x equals zero

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Take the greatest common factor from each group out of the brackets.

Put together the Initially 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, .

Should be rewritten as .

Factor.

Factor.

As both terms are perfect squares, factor using the difference of squares formula, where and .

Delete unnecessary parentheses.

Delete unnecessary parentheses.

Set equal to and Calculate .

Make the factor equal .

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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