x(x+2)(x-1)(x-4)=0

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


Simplifying
x(x + 2)(x + -1)(x + -4) = 0

Reorder the terms:
x(2 + x)(x + -1)(x + -4) = 0

Reorder the terms:
x(2 + x)(-1 + x)(x + -4) = 0

Reorder the terms:
x(2 + x)(-1 + x)(-4 + x) = 0

Multiply (2 + x) * (-1 + x)
x(2(-1 + x) + x(-1 + x))(-4 + x) = 0
x((-1 * 2 + x * 2) + x(-1 + x))(-4 + x) = 0
x((-2 + 2x) + x(-1 + x))(-4 + x) = 0
x(-2 + 2x + (-1 * x + x * x))(-4 + x) = 0
x(-2 + 2x + (-1x + x2))(-4 + x) = 0

Combine like terms: 2x + -1x = 1x
x(-2 + 1x + x2)(-4 + x) = 0

Multiply (-2 + 1x + x2) * (-4 + x)
x(-2(-4 + x) + 1x * (-4 + x) + x2(-4 + x)) = 0
x((-4 * -2 + x * -2) + 1x * (-4 + x) + x2(-4 + x)) = 0
x((8 + -2x) + 1x * (-4 + x) + x2(-4 + x)) = 0
x(8 + -2x + (-4 * 1x + x * 1x) + x2(-4 + x)) = 0
x(8 + -2x + (-4x + 1x2) + x2(-4 + x)) = 0
x(8 + -2x + -4x + 1x2 + (-4 * x2 + x * x2)) = 0
x(8 + -2x + -4x + 1x2 + (-4x2 + x3)) = 0

Combine like terms: -2x + -4x = -6x
x(8 + -6x + 1x2 + -4x2 + x3) = 0

Combine like terms: 1x2 + -4x2 = -3x2
x(8 + -6x + -3x2 + x3) = 0
(8 * x + -6x * x + -3x2 * x + x3 * x) = 0
(8x + -6x2 + -3x3 + x4) = 0

Solving
8x + -6x2 + -3x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(8 + -6x + -3x2 + x3) = 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 '(8 + -6x + -3x2 + x3)' equal to zero and attempt to solve:

Simplifying
8 + -6x + -3x2 + x3 = 0

Solving
8 + -6x + -3x2 + x3 = 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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