(x-1)*(x-1)*(x-1)-4(x+1)*(x+1)=x*x(x-7)

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Solution for (x-1)*(x-1)*(x-1)-4(x+1)*(x+1)=x*x(x-7) equation:


Simplifying
(x + -1)(x + -1)(x + -1) + -4(x + 1)(x + 1) = x * x(x + -7)

Reorder the terms:
(-1 + x)(x + -1)(x + -1) + -4(x + 1)(x + 1) = x * x(x + -7)

Reorder the terms:
(-1 + x)(-1 + x)(x + -1) + -4(x + 1)(x + 1) = x * x(x + -7)

Reorder the terms:
(-1 + x)(-1 + x)(-1 + x) + -4(x + 1)(x + 1) = x * x(x + -7)

Multiply (-1 + x) * (-1 + x)
(-1(-1 + x) + x(-1 + x))(-1 + x) + -4(x + 1)(x + 1) = x * x(x + -7)
((-1 * -1 + x * -1) + x(-1 + x))(-1 + x) + -4(x + 1)(x + 1) = x * x(x + -7)
((1 + -1x) + x(-1 + x))(-1 + x) + -4(x + 1)(x + 1) = x * x(x + -7)
(1 + -1x + (-1 * x + x * x))(-1 + x) + -4(x + 1)(x + 1) = x * x(x + -7)
(1 + -1x + (-1x + x2))(-1 + x) + -4(x + 1)(x + 1) = x * x(x + -7)

Combine like terms: -1x + -1x = -2x
(1 + -2x + x2)(-1 + x) + -4(x + 1)(x + 1) = x * x(x + -7)

Multiply (1 + -2x + x2) * (-1 + x)
(1(-1 + x) + -2x * (-1 + x) + x2(-1 + x)) + -4(x + 1)(x + 1) = x * x(x + -7)
((-1 * 1 + x * 1) + -2x * (-1 + x) + x2(-1 + x)) + -4(x + 1)(x + 1) = x * x(x + -7)
((-1 + 1x) + -2x * (-1 + x) + x2(-1 + x)) + -4(x + 1)(x + 1) = x * x(x + -7)
(-1 + 1x + (-1 * -2x + x * -2x) + x2(-1 + x)) + -4(x + 1)(x + 1) = x * x(x + -7)
(-1 + 1x + (2x + -2x2) + x2(-1 + x)) + -4(x + 1)(x + 1) = x * x(x + -7)
(-1 + 1x + 2x + -2x2 + (-1 * x2 + x * x2)) + -4(x + 1)(x + 1) = x * x(x + -7)
(-1 + 1x + 2x + -2x2 + (-1x2 + x3)) + -4(x + 1)(x + 1) = x * x(x + -7)

Combine like terms: 1x + 2x = 3x
(-1 + 3x + -2x2 + -1x2 + x3) + -4(x + 1)(x + 1) = x * x(x + -7)

Combine like terms: -2x2 + -1x2 = -3x2
(-1 + 3x + -3x2 + x3) + -4(x + 1)(x + 1) = x * x(x + -7)

Reorder the terms:
-1 + 3x + -3x2 + x3 + -4(1 + x)(x + 1) = x * x(x + -7)

Reorder the terms:
-1 + 3x + -3x2 + x3 + -4(1 + x)(1 + x) = x * x(x + -7)

Multiply (1 + x) * (1 + x)
-1 + 3x + -3x2 + x3 + -4(1(1 + x) + x(1 + x)) = x * x(x + -7)
-1 + 3x + -3x2 + x3 + -4((1 * 1 + x * 1) + x(1 + x)) = x * x(x + -7)
-1 + 3x + -3x2 + x3 + -4((1 + 1x) + x(1 + x)) = x * x(x + -7)
-1 + 3x + -3x2 + x3 + -4(1 + 1x + (1 * x + x * x)) = x * x(x + -7)
-1 + 3x + -3x2 + x3 + -4(1 + 1x + (1x + x2)) = x * x(x + -7)

Combine like terms: 1x + 1x = 2x
-1 + 3x + -3x2 + x3 + -4(1 + 2x + x2) = x * x(x + -7)
-1 + 3x + -3x2 + x3 + (1 * -4 + 2x * -4 + x2 * -4) = x * x(x + -7)
-1 + 3x + -3x2 + x3 + (-4 + -8x + -4x2) = x * x(x + -7)

Reorder the terms:
-1 + -4 + 3x + -8x + -3x2 + -4x2 + x3 = x * x(x + -7)

Combine like terms: -1 + -4 = -5
-5 + 3x + -8x + -3x2 + -4x2 + x3 = x * x(x + -7)

Combine like terms: 3x + -8x = -5x
-5 + -5x + -3x2 + -4x2 + x3 = x * x(x + -7)

Combine like terms: -3x2 + -4x2 = -7x2
-5 + -5x + -7x2 + x3 = x * x(x + -7)

Reorder the terms:
-5 + -5x + -7x2 + x3 = x * x(-7 + x)

Multiply x * x
-5 + -5x + -7x2 + x3 = x2(-7 + x)
-5 + -5x + -7x2 + x3 = (-7 * x2 + x * x2)
-5 + -5x + -7x2 + x3 = (-7x2 + x3)

Add '7x2' to each side of the equation.
-5 + -5x + -7x2 + 7x2 + x3 = -7x2 + 7x2 + x3

Combine like terms: -7x2 + 7x2 = 0
-5 + -5x + 0 + x3 = -7x2 + 7x2 + x3
-5 + -5x + x3 = -7x2 + 7x2 + x3

Combine like terms: -7x2 + 7x2 = 0
-5 + -5x + x3 = 0 + x3
-5 + -5x + x3 = x3

Add '-1x3' to each side of the equation.
-5 + -5x + x3 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-5 + -5x + 0 = x3 + -1x3
-5 + -5x = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-5 + -5x = 0

Solving
-5 + -5x = 0

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + -5x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -5x = 0 + 5
-5x = 0 + 5

Combine like terms: 0 + 5 = 5
-5x = 5

Divide each side by '-5'.
x = -1

Simplifying
x = -1

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