(X^2-1)(x^3+4x^2-5x)=0

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Solution for (X^2-1)(x^3+4x^2-5x)=0 equation:


Simplifying
(X2 + -1)(x3 + 4x2 + -5x) = 0

Reorder the terms:
(-1 + X2)(x3 + 4x2 + -5x) = 0

Reorder the terms:
(-1 + X2)(-5x + 4x2 + x3) = 0

Multiply (-1 + X2) * (-5x + 4x2 + x3)
(-1(-5x + 4x2 + x3) + X2(-5x + 4x2 + x3)) = 0
((-5x * -1 + 4x2 * -1 + x3 * -1) + X2(-5x + 4x2 + x3)) = 0
((5x + -4x2 + -1x3) + X2(-5x + 4x2 + x3)) = 0
(5x + -4x2 + -1x3 + (-5x * X2 + 4x2 * X2 + x3 * X2)) = 0
(5x + -4x2 + -1x3 + (-5xX2 + 4x2X2 + x3X2)) = 0

Reorder the terms:
(5x + -5xX2 + -4x2 + 4x2X2 + -1x3 + x3X2) = 0
(5x + -5xX2 + -4x2 + 4x2X2 + -1x3 + x3X2) = 0

Solving
5x + -5xX2 + -4x2 + 4x2X2 + -1x3 + x3X2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(5 + -5X2 + -4x + 4xX2 + -1x2 + x2X2) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(5 + -5X2 + -4x + 4xX2 + -1x2 + x2X2)' equal to zero and attempt to solve: Simplifying 5 + -5X2 + -4x + 4xX2 + -1x2 + x2X2 = 0 Solving 5 + -5X2 + -4x + 4xX2 + -1x2 + x2X2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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