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

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


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

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

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

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

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

Combine like terms: 1x + 1x = 2x
(1 + 2x + x2)(1 + x) + -1(x + -1)(x + -1)(x + -1) = 6x(x + -3)

Multiply (1 + 2x + x2) * (1 + x)
(1(1 + x) + 2x * (1 + x) + x2(1 + x)) + -1(x + -1)(x + -1)(x + -1) = 6x(x + -3)
((1 * 1 + x * 1) + 2x * (1 + x) + x2(1 + x)) + -1(x + -1)(x + -1)(x + -1) = 6x(x + -3)
((1 + 1x) + 2x * (1 + x) + x2(1 + x)) + -1(x + -1)(x + -1)(x + -1) = 6x(x + -3)
(1 + 1x + (1 * 2x + x * 2x) + x2(1 + x)) + -1(x + -1)(x + -1)(x + -1) = 6x(x + -3)
(1 + 1x + (2x + 2x2) + x2(1 + x)) + -1(x + -1)(x + -1)(x + -1) = 6x(x + -3)
(1 + 1x + 2x + 2x2 + (1 * x2 + x * x2)) + -1(x + -1)(x + -1)(x + -1) = 6x(x + -3)
(1 + 1x + 2x + 2x2 + (1x2 + x3)) + -1(x + -1)(x + -1)(x + -1) = 6x(x + -3)

Combine like terms: 1x + 2x = 3x
(1 + 3x + 2x2 + 1x2 + x3) + -1(x + -1)(x + -1)(x + -1) = 6x(x + -3)

Combine like terms: 2x2 + 1x2 = 3x2
(1 + 3x + 3x2 + x3) + -1(x + -1)(x + -1)(x + -1) = 6x(x + -3)

Reorder the terms:
1 + 3x + 3x2 + x3 + -1(-1 + x)(x + -1)(x + -1) = 6x(x + -3)

Reorder the terms:
1 + 3x + 3x2 + x3 + -1(-1 + x)(-1 + x)(x + -1) = 6x(x + -3)

Reorder the terms:
1 + 3x + 3x2 + x3 + -1(-1 + x)(-1 + x)(-1 + x) = 6x(x + -3)

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

Combine like terms: -1x + -1x = -2x
1 + 3x + 3x2 + x3 + -1(1 + -2x + x2)(-1 + x) = 6x(x + -3)

Multiply (1 + -2x + x2) * (-1 + x)
1 + 3x + 3x2 + x3 + -1(1(-1 + x) + -2x * (-1 + x) + x2(-1 + x)) = 6x(x + -3)
1 + 3x + 3x2 + x3 + -1((-1 * 1 + x * 1) + -2x * (-1 + x) + x2(-1 + x)) = 6x(x + -3)
1 + 3x + 3x2 + x3 + -1((-1 + 1x) + -2x * (-1 + x) + x2(-1 + x)) = 6x(x + -3)
1 + 3x + 3x2 + x3 + -1(-1 + 1x + (-1 * -2x + x * -2x) + x2(-1 + x)) = 6x(x + -3)
1 + 3x + 3x2 + x3 + -1(-1 + 1x + (2x + -2x2) + x2(-1 + x)) = 6x(x + -3)
1 + 3x + 3x2 + x3 + -1(-1 + 1x + 2x + -2x2 + (-1 * x2 + x * x2)) = 6x(x + -3)
1 + 3x + 3x2 + x3 + -1(-1 + 1x + 2x + -2x2 + (-1x2 + x3)) = 6x(x + -3)

Combine like terms: 1x + 2x = 3x
1 + 3x + 3x2 + x3 + -1(-1 + 3x + -2x2 + -1x2 + x3) = 6x(x + -3)

Combine like terms: -2x2 + -1x2 = -3x2
1 + 3x + 3x2 + x3 + -1(-1 + 3x + -3x2 + x3) = 6x(x + -3)
1 + 3x + 3x2 + x3 + (-1 * -1 + 3x * -1 + -3x2 * -1 + x3 * -1) = 6x(x + -3)
1 + 3x + 3x2 + x3 + (1 + -3x + 3x2 + -1x3) = 6x(x + -3)

Reorder the terms:
1 + 1 + 3x + -3x + 3x2 + 3x2 + x3 + -1x3 = 6x(x + -3)

Combine like terms: 1 + 1 = 2
2 + 3x + -3x + 3x2 + 3x2 + x3 + -1x3 = 6x(x + -3)

Combine like terms: 3x + -3x = 0
2 + 0 + 3x2 + 3x2 + x3 + -1x3 = 6x(x + -3)
2 + 3x2 + 3x2 + x3 + -1x3 = 6x(x + -3)

Combine like terms: 3x2 + 3x2 = 6x2
2 + 6x2 + x3 + -1x3 = 6x(x + -3)

Combine like terms: x3 + -1x3 = 0
2 + 6x2 + 0 = 6x(x + -3)
2 + 6x2 = 6x(x + -3)

Reorder the terms:
2 + 6x2 = 6x(-3 + x)
2 + 6x2 = (-3 * 6x + x * 6x)
2 + 6x2 = (-18x + 6x2)

Add '-6x2' to each side of the equation.
2 + 6x2 + -6x2 = -18x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
2 + 0 = -18x + 6x2 + -6x2
2 = -18x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
2 = -18x + 0
2 = -18x

Solving
2 = -18x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '18x' to each side of the equation.
2 + 18x = -18x + 18x

Combine like terms: -18x + 18x = 0
2 + 18x = 0

Add '-2' to each side of the equation.
2 + -2 + 18x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 18x = 0 + -2
18x = 0 + -2

Combine like terms: 0 + -2 = -2
18x = -2

Divide each side by '18'.
x = -0.1111111111

Simplifying
x = -0.1111111111

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