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

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


Simplifying
(x2 + -1)(x2 + -1x)(-6) = (x2 + -1x)(x2 + x)(x) + -1(x2 + -1)(x2 + x)(x + 6)

Reorder the terms:
(-1 + x2)(x2 + -1x)(-6) = (x2 + -1x)(x2 + x)(x) + -1(x2 + -1)(x2 + x)(x + 6)

Reorder the terms:
(-1 + x2)(-1x + x2)(-6) = (x2 + -1x)(x2 + x)(x) + -1(x2 + -1)(x2 + x)(x + 6)

Reorder the terms for easier multiplication:
-6(-1 + x2)(-1x + x2) = (x2 + -1x)(x2 + x)(x) + -1(x2 + -1)(x2 + x)(x + 6)

Multiply (-1 + x2) * (-1x + x2)
-6(-1(-1x + x2) + x2(-1x + x2)) = (x2 + -1x)(x2 + x)(x) + -1(x2 + -1)(x2 + x)(x + 6)
-6((-1x * -1 + x2 * -1) + x2(-1x + x2)) = (x2 + -1x)(x2 + x)(x) + -1(x2 + -1)(x2 + x)(x + 6)
-6((1x + -1x2) + x2(-1x + x2)) = (x2 + -1x)(x2 + x)(x) + -1(x2 + -1)(x2 + x)(x + 6)
-6(1x + -1x2 + (-1x * x2 + x2 * x2)) = (x2 + -1x)(x2 + x)(x) + -1(x2 + -1)(x2 + x)(x + 6)
-6(1x + -1x2 + (-1x3 + x4)) = (x2 + -1x)(x2 + x)(x) + -1(x2 + -1)(x2 + x)(x + 6)
-6(1x + -1x2 + -1x3 + x4) = (x2 + -1x)(x2 + x)(x) + -1(x2 + -1)(x2 + x)(x + 6)
(1x * -6 + -1x2 * -6 + -1x3 * -6 + x4 * -6) = (x2 + -1x)(x2 + x)(x) + -1(x2 + -1)(x2 + x)(x + 6)
(-6x + 6x2 + 6x3 + -6x4) = (x2 + -1x)(x2 + x)(x) + -1(x2 + -1)(x2 + x)(x + 6)

Reorder the terms:
-6x + 6x2 + 6x3 + -6x4 = (-1x + x2)(x2 + x)(x) + -1(x2 + -1)(x2 + x)(x + 6)

Reorder the terms:
-6x + 6x2 + 6x3 + -6x4 = (-1x + x2)(x + x2)(x) + -1(x2 + -1)(x2 + x)(x + 6)

Reorder the terms for easier multiplication:
-6x + 6x2 + 6x3 + -6x4 = x(-1x + x2)(x + x2) + -1(x2 + -1)(x2 + x)(x + 6)

Multiply (-1x + x2) * (x + x2)
-6x + 6x2 + 6x3 + -6x4 = x(-1x * (x + x2) + x2(x + x2)) + -1(x2 + -1)(x2 + x)(x + 6)
-6x + 6x2 + 6x3 + -6x4 = x((x * -1x + x2 * -1x) + x2(x + x2)) + -1(x2 + -1)(x2 + x)(x + 6)
-6x + 6x2 + 6x3 + -6x4 = x((-1x2 + -1x3) + x2(x + x2)) + -1(x2 + -1)(x2 + x)(x + 6)
-6x + 6x2 + 6x3 + -6x4 = x(-1x2 + -1x3 + (x * x2 + x2 * x2)) + -1(x2 + -1)(x2 + x)(x + 6)
-6x + 6x2 + 6x3 + -6x4 = x(-1x2 + -1x3 + (x3 + x4)) + -1(x2 + -1)(x2 + x)(x + 6)

Combine like terms: -1x3 + x3 = 0
-6x + 6x2 + 6x3 + -6x4 = x(-1x2 + 0 + x4) + -1(x2 + -1)(x2 + x)(x + 6)
-6x + 6x2 + 6x3 + -6x4 = x(-1x2 + x4) + -1(x2 + -1)(x2 + x)(x + 6)
-6x + 6x2 + 6x3 + -6x4 = (-1x2 * x + x4 * x) + -1(x2 + -1)(x2 + x)(x + 6)
-6x + 6x2 + 6x3 + -6x4 = (-1x3 + x5) + -1(x2 + -1)(x2 + x)(x + 6)

Reorder the terms:
-6x + 6x2 + 6x3 + -6x4 = -1x3 + x5 + -1(-1 + x2)(x2 + x)(x + 6)

Reorder the terms:
-6x + 6x2 + 6x3 + -6x4 = -1x3 + x5 + -1(-1 + x2)(x + x2)(x + 6)

Reorder the terms:
-6x + 6x2 + 6x3 + -6x4 = -1x3 + x5 + -1(-1 + x2)(x + x2)(6 + x)

Multiply (-1 + x2) * (x + x2)
-6x + 6x2 + 6x3 + -6x4 = -1x3 + x5 + -1(-1(x + x2) + x2(x + x2))(6 + x)
-6x + 6x2 + 6x3 + -6x4 = -1x3 + x5 + -1((x * -1 + x2 * -1) + x2(x + x2))(6 + x)
-6x + 6x2 + 6x3 + -6x4 = -1x3 + x5 + -1((-1x + -1x2) + x2(x + x2))(6 + x)
-6x + 6x2 + 6x3 + -6x4 = -1x3 + x5 + -1(-1x + -1x2 + (x * x2 + x2 * x2))(6 + x)
-6x + 6x2 + 6x3 + -6x4 = -1x3 + x5 + -1(-1x + -1x2 + (x3 + x4))(6 + x)
-6x + 6x2 + 6x3 + -6x4 = -1x3 + x5 + -1(-1x + -1x2 + x3 + x4)(6 + x)

Multiply (-1x + -1x2 + x3 + x4) * (6 + x)
-6x + 6x2 + 6x3 + -6x4 = -1x3 + x5 + -1(-1x * (6 + x) + -1x2 * (6 + x) + x3(6 + x) + x4(6 + x))
-6x + 6x2 + 6x3 + -6x4 = -1x3 + x5 + -1((6 * -1x + x * -1x) + -1x2 * (6 + x) + x3(6 + x) + x4(6 + x))
-6x + 6x2 + 6x3 + -6x4 = -1x3 + x5 + -1((-6x + -1x2) + -1x2 * (6 + x) + x3(6 + x) + x4(6 + x))
-6x + 6x2 + 6x3 + -6x4 = -1x3 + x5 + -1(-6x + -1x2 + (6 * -1x2 + x * -1x2) + x3(6 + x) + x4(6 + x))
-6x + 6x2 + 6x3 + -6x4 = -1x3 + x5 + -1(-6x + -1x2 + (-6x2 + -1x3) + x3(6 + x) + x4(6 + x))
-6x + 6x2 + 6x3 + -6x4 = -1x3 + x5 + -1(-6x + -1x2 + -6x2 + -1x3 + (6 * x3 + x * x3) + x4(6 + x))
-6x + 6x2 + 6x3 + -6x4 = -1x3 + x5 + -1(-6x + -1x2 + -6x2 + -1x3 + (6x3 + x4) + x4(6 + x))
-6x + 6x2 + 6x3 + -6x4 = -1x3 + x5 + -1(-6x + -1x2 + -6x2 + -1x3 + 6x3 + x4 + (6 * x4 + x * x4))
-6x + 6x2 + 6x3 + -6x4 = -1x3 + x5 + -1(-6x + -1x2 + -6x2 + -1x3 + 6x3 + x4 + (6x4 + x5))

Combine like terms: -1x2 + -6x2 = -7x2
-6x + 6x2 + 6x3 + -6x4 = -1x3 + x5 + -1(-6x + -7x2 + -1x3 + 6x3 + x4 + 6x4 + x5)

Combine like terms: -1x3 + 6x3 = 5x3
-6x + 6x2 + 6x3 + -6x4 = -1x3 + x5 + -1(-6x + -7x2 + 5x3 + x4 + 6x4 + x5)

Combine like terms: x4 + 6x4 = 7x4
-6x + 6x2 + 6x3 + -6x4 = -1x3 + x5 + -1(-6x + -7x2 + 5x3 + 7x4 + x5)
-6x + 6x2 + 6x3 + -6x4 = -1x3 + x5 + (-6x * -1 + -7x2 * -1 + 5x3 * -1 + 7x4 * -1 + x5 * -1)
-6x + 6x2 + 6x3 + -6x4 = -1x3 + x5 + (6x + 7x2 + -5x3 + -7x4 + -1x5)

Reorder the terms:
-6x + 6x2 + 6x3 + -6x4 = 6x + 7x2 + -1x3 + -5x3 + -7x4 + x5 + -1x5

Combine like terms: -1x3 + -5x3 = -6x3
-6x + 6x2 + 6x3 + -6x4 = 6x + 7x2 + -6x3 + -7x4 + x5 + -1x5

Combine like terms: x5 + -1x5 = 0
-6x + 6x2 + 6x3 + -6x4 = 6x + 7x2 + -6x3 + -7x4 + 0
-6x + 6x2 + 6x3 + -6x4 = 6x + 7x2 + -6x3 + -7x4

Solving
-6x + 6x2 + 6x3 + -6x4 = 6x + 7x2 + -6x3 + -7x4

Solving for variable 'x'.

Reorder the terms:
-6x + -6x + 6x2 + -7x2 + 6x3 + 6x3 + -6x4 + 7x4 = 6x + 7x2 + -6x3 + -7x4 + -6x + -7x2 + 6x3 + 7x4

Combine like terms: -6x + -6x = -12x
-12x + 6x2 + -7x2 + 6x3 + 6x3 + -6x4 + 7x4 = 6x + 7x2 + -6x3 + -7x4 + -6x + -7x2 + 6x3 + 7x4

Combine like terms: 6x2 + -7x2 = -1x2
-12x + -1x2 + 6x3 + 6x3 + -6x4 + 7x4 = 6x + 7x2 + -6x3 + -7x4 + -6x + -7x2 + 6x3 + 7x4

Combine like terms: 6x3 + 6x3 = 12x3
-12x + -1x2 + 12x3 + -6x4 + 7x4 = 6x + 7x2 + -6x3 + -7x4 + -6x + -7x2 + 6x3 + 7x4

Combine like terms: -6x4 + 7x4 = 1x4
-12x + -1x2 + 12x3 + 1x4 = 6x + 7x2 + -6x3 + -7x4 + -6x + -7x2 + 6x3 + 7x4

Reorder the terms:
-12x + -1x2 + 12x3 + 1x4 = 6x + -6x + 7x2 + -7x2 + -6x3 + 6x3 + -7x4 + 7x4

Combine like terms: 6x + -6x = 0
-12x + -1x2 + 12x3 + 1x4 = 0 + 7x2 + -7x2 + -6x3 + 6x3 + -7x4 + 7x4
-12x + -1x2 + 12x3 + 1x4 = 7x2 + -7x2 + -6x3 + 6x3 + -7x4 + 7x4

Combine like terms: 7x2 + -7x2 = 0
-12x + -1x2 + 12x3 + 1x4 = 0 + -6x3 + 6x3 + -7x4 + 7x4
-12x + -1x2 + 12x3 + 1x4 = -6x3 + 6x3 + -7x4 + 7x4

Combine like terms: -6x3 + 6x3 = 0
-12x + -1x2 + 12x3 + 1x4 = 0 + -7x4 + 7x4
-12x + -1x2 + 12x3 + 1x4 = -7x4 + 7x4

Combine like terms: -7x4 + 7x4 = 0
-12x + -1x2 + 12x3 + 1x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-12 + -1x + 12x2 + 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 + -1x + 12x2 + x3)' equal to zero and attempt to solve:

Simplifying
-12 + -1x + 12x2 + x3 = 0

Solving
-12 + -1x + 12x2 + 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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