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

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


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

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

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

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

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

Combine like terms: -4x + 1x = -3x
x(-4 + -3x + x2)(-2 + x) = 0

Multiply (-4 + -3x + x2) * (-2 + x)
x(-4(-2 + x) + -3x * (-2 + x) + x2(-2 + x)) = 0
x((-2 * -4 + x * -4) + -3x * (-2 + x) + x2(-2 + x)) = 0
x((8 + -4x) + -3x * (-2 + x) + x2(-2 + x)) = 0
x(8 + -4x + (-2 * -3x + x * -3x) + x2(-2 + x)) = 0
x(8 + -4x + (6x + -3x2) + x2(-2 + x)) = 0
x(8 + -4x + 6x + -3x2 + (-2 * x2 + x * x2)) = 0
x(8 + -4x + 6x + -3x2 + (-2x2 + x3)) = 0

Combine like terms: -4x + 6x = 2x
x(8 + 2x + -3x2 + -2x2 + x3) = 0

Combine like terms: -3x2 + -2x2 = -5x2
x(8 + 2x + -5x2 + x3) = 0
(8 * x + 2x * x + -5x2 * x + x3 * x) = 0
(8x + 2x2 + -5x3 + x4) = 0

Solving
8x + 2x2 + -5x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(8 + 2x + -5x2 + 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 + 2x + -5x2 + x3)' equal to zero and attempt to solve:

Simplifying
8 + 2x + -5x2 + x3 = 0

Solving
8 + 2x + -5x2 + 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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