(x+0)(x-6)(x+1)(x-2)=0

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Solution for (x+0)(x-6)(x+1)(x-2)=0 equation: 


Simplifying
(x + 0)(x + -6)(x + 1)(x + -2) = 0

Reorder the terms:
(0 + x)(x + -6)(x + 1)(x + -2) = 0
Remove the zero:
(x)(x + -6)(x + 1)(x + -2) = 0

Reorder the terms:
x(-6 + x)(x + 1)(x + -2) = 0

Reorder the terms:
x(-6 + x)(1 + x)(x + -2) = 0

Reorder the terms:
x(-6 + x)(1 + x)(-2 + x) = 0

Multiply (-6 + x) * (1 + x)
x(-6(1 + x) + x(1 + x))(-2 + x) = 0
x((1 * -6 + x * -6) + x(1 + x))(-2 + x) = 0
x((-6 + -6x) + x(1 + x))(-2 + x) = 0
x(-6 + -6x + (1 * x + x * x))(-2 + x) = 0
x(-6 + -6x + (1x + x2))(-2 + x) = 0

Combine like terms: -6x + 1x = -5x
x(-6 + -5x + x2)(-2 + x) = 0

Multiply (-6 + -5x + x2) * (-2 + x)
x(-6(-2 + x) + -5x * (-2 + x) + x2(-2 + x)) = 0
x((-2 * -6 + x * -6) + -5x * (-2 + x) + x2(-2 + x)) = 0
x((12 + -6x) + -5x * (-2 + x) + x2(-2 + x)) = 0
x(12 + -6x + (-2 * -5x + x * -5x) + x2(-2 + x)) = 0
x(12 + -6x + (10x + -5x2) + x2(-2 + x)) = 0
x(12 + -6x + 10x + -5x2 + (-2 * x2 + x * x2)) = 0
x(12 + -6x + 10x + -5x2 + (-2x2 + x3)) = 0

Combine like terms: -6x + 10x = 4x
x(12 + 4x + -5x2 + -2x2 + x3) = 0

Combine like terms: -5x2 + -2x2 = -7x2
x(12 + 4x + -7x2 + x3) = 0
(12 * x + 4x * x + -7x2 * x + x3 * x) = 0
(12x + 4x2 + -7x3 + x4) = 0

Solving
12x + 4x2 + -7x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(12 + 4x + -7x2 + 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 '(12 + 4x + -7x2 + x3)' equal to zero and attempt to solve:

Simplifying
12 + 4x + -7x2 + x3 = 0

Solving
12 + 4x + -7x2 + 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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