x(x-7)(x+1)(6-12x)=0

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Solution for x(x-7)(x+1)(6-12x)=0 equation: 


Simplifying
x(x + -7)(x + 1)(6 + -12x) = 0

Reorder the terms:
x(-7 + x)(x + 1)(6 + -12x) = 0

Reorder the terms:
x(-7 + x)(1 + x)(6 + -12x) = 0

Multiply (-7 + x) * (1 + x)
x(-7(1 + x) + x(1 + x))(6 + -12x) = 0
x((1 * -7 + x * -7) + x(1 + x))(6 + -12x) = 0
x((-7 + -7x) + x(1 + x))(6 + -12x) = 0
x(-7 + -7x + (1 * x + x * x))(6 + -12x) = 0
x(-7 + -7x + (1x + x2))(6 + -12x) = 0

Combine like terms: -7x + 1x = -6x
x(-7 + -6x + x2)(6 + -12x) = 0

Multiply (-7 + -6x + x2) * (6 + -12x)
x(-7(6 + -12x) + -6x * (6 + -12x) + x2(6 + -12x)) = 0
x((6 * -7 + -12x * -7) + -6x * (6 + -12x) + x2(6 + -12x)) = 0
x((-42 + 84x) + -6x * (6 + -12x) + x2(6 + -12x)) = 0
x(-42 + 84x + (6 * -6x + -12x * -6x) + x2(6 + -12x)) = 0
x(-42 + 84x + (-36x + 72x2) + x2(6 + -12x)) = 0
x(-42 + 84x + -36x + 72x2 + (6 * x2 + -12x * x2)) = 0
x(-42 + 84x + -36x + 72x2 + (6x2 + -12x3)) = 0

Combine like terms: 84x + -36x = 48x
x(-42 + 48x + 72x2 + 6x2 + -12x3) = 0

Combine like terms: 72x2 + 6x2 = 78x2
x(-42 + 48x + 78x2 + -12x3) = 0
(-42 * x + 48x * x + 78x2 * x + -12x3 * x) = 0
(-42x + 48x2 + 78x3 + -12x4) = 0

Solving
-42x + 48x2 + 78x3 + -12x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(-7 + 8x + 13x2 + -2x3) = 0

Ignore the factor 6.

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 '(-7 + 8x + 13x2 + -2x3)' equal to zero and attempt to solve:

Simplifying
-7 + 8x + 13x2 + -2x3 = 0

Solving
-7 + 8x + 13x2 + -2x3 = 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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