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

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


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

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

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

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

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

Reorder the terms:
(-4 + 4X2 + -1x2 + x2X2)(-5x + x2) = 0
(-4 + 4X2 + -1x2 + x2X2)(-5x + x2) = 0

Multiply (-4 + 4X2 + -1x2 + x2X2) * (-5x + x2)
(-4(-5x + x2) + 4X2 * (-5x + x2) + -1x2 * (-5x + x2) + x2X2(-5x + x2)) = 0
((-5x * -4 + x2 * -4) + 4X2 * (-5x + x2) + -1x2 * (-5x + x2) + x2X2(-5x + x2)) = 0
((20x + -4x2) + 4X2 * (-5x + x2) + -1x2 * (-5x + x2) + x2X2(-5x + x2)) = 0
(20x + -4x2 + (-5x * 4X2 + x2 * 4X2) + -1x2 * (-5x + x2) + x2X2(-5x + x2)) = 0
(20x + -4x2 + (-20xX2 + 4x2X2) + -1x2 * (-5x + x2) + x2X2(-5x + x2)) = 0
(20x + -4x2 + -20xX2 + 4x2X2 + (-5x * -1x2 + x2 * -1x2) + x2X2(-5x + x2)) = 0
(20x + -4x2 + -20xX2 + 4x2X2 + (5x3 + -1x4) + x2X2(-5x + x2)) = 0
(20x + -4x2 + -20xX2 + 4x2X2 + 5x3 + -1x4 + (-5x * x2X2 + x2 * x2X2)) = 0
(20x + -4x2 + -20xX2 + 4x2X2 + 5x3 + -1x4 + (-5x3X2 + x4X2)) = 0

Reorder the terms:
(20x + -20xX2 + -4x2 + 4x2X2 + 5x3 + -5x3X2 + -1x4 + x4X2) = 0
(20x + -20xX2 + -4x2 + 4x2X2 + 5x3 + -5x3X2 + -1x4 + x4X2) = 0

Solving
20x + -20xX2 + -4x2 + 4x2X2 + 5x3 + -5x3X2 + -1x4 + x4X2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(20 + -20X2 + -4x + 4xX2 + 5x2 + -5x2X2 + -1x3 + x3X2) = 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 '(20 + -20X2 + -4x + 4xX2 + 5x2 + -5x2X2 + -1x3 + x3X2)' equal to zero and attempt to solve:

Simplifying
20 + -20X2 + -4x + 4xX2 + 5x2 + -5x2X2 + -1x3 + x3X2 = 0

Solving
20 + -20X2 + -4x + 4xX2 + 5x2 + -5x2X2 + -1x3 + x3X2 = 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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