3x(x-6)(x+1)(x+1)=

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Solution for 3x(x-6)(x+1)(x+1)= equation: 


Simplifying
3x(x + -6)(x + 1)(x + 1) = 0

Reorder the terms:
3x(-6 + x)(x + 1)(x + 1) = 0

Reorder the terms:
3x(-6 + x)(1 + x)(x + 1) = 0

Reorder the terms:
3x(-6 + x)(1 + x)(1 + x) = 0

Multiply (-6 + x) * (1 + x)
3x(-6(1 + x) + x(1 + x))(1 + x) = 0
3x((1 * -6 + x * -6) + x(1 + x))(1 + x) = 0
3x((-6 + -6x) + x(1 + x))(1 + x) = 0
3x(-6 + -6x + (1 * x + x * x))(1 + x) = 0
3x(-6 + -6x + (1x + x2))(1 + x) = 0

Combine like terms: -6x + 1x = -5x
3x(-6 + -5x + x2)(1 + x) = 0

Multiply (-6 + -5x + x2) * (1 + x)
3x(-6(1 + x) + -5x * (1 + x) + x2(1 + x)) = 0
3x((1 * -6 + x * -6) + -5x * (1 + x) + x2(1 + x)) = 0
3x((-6 + -6x) + -5x * (1 + x) + x2(1 + x)) = 0
3x(-6 + -6x + (1 * -5x + x * -5x) + x2(1 + x)) = 0
3x(-6 + -6x + (-5x + -5x2) + x2(1 + x)) = 0
3x(-6 + -6x + -5x + -5x2 + (1 * x2 + x * x2)) = 0
3x(-6 + -6x + -5x + -5x2 + (1x2 + x3)) = 0

Combine like terms: -6x + -5x = -11x
3x(-6 + -11x + -5x2 + 1x2 + x3) = 0

Combine like terms: -5x2 + 1x2 = -4x2
3x(-6 + -11x + -4x2 + x3) = 0
(-6 * 3x + -11x * 3x + -4x2 * 3x + x3 * 3x) = 0
(-18x + -33x2 + -12x3 + 3x4) = 0

Solving
-18x + -33x2 + -12x3 + 3x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-6 + -11x + -4x2 + x3) = 0

Ignore the factor 3.

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 '(-6 + -11x + -4x2 + x3)' equal to zero and attempt to solve:

Simplifying
-6 + -11x + -4x2 + x3 = 0

Solving
-6 + -11x + -4x2 + 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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