8x^3+4x^2-4x=4x(2x-1)(x+1)

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Solution for 8x^3+4x^2-4x=4x(2x-1)(x+1) equation: 


Simplifying
8x3 + 4x2 + -4x = 4x(2x + -1)(x + 1)

Reorder the terms:
-4x + 4x2 + 8x3 = 4x(2x + -1)(x + 1)

Reorder the terms:
-4x + 4x2 + 8x3 = 4x(-1 + 2x)(x + 1)

Reorder the terms:
-4x + 4x2 + 8x3 = 4x(-1 + 2x)(1 + x)

Multiply (-1 + 2x) * (1 + x)
-4x + 4x2 + 8x3 = 4x(-1(1 + x) + 2x * (1 + x))
-4x + 4x2 + 8x3 = 4x((1 * -1 + x * -1) + 2x * (1 + x))
-4x + 4x2 + 8x3 = 4x((-1 + -1x) + 2x * (1 + x))
-4x + 4x2 + 8x3 = 4x(-1 + -1x + (1 * 2x + x * 2x))
-4x + 4x2 + 8x3 = 4x(-1 + -1x + (2x + 2x2))

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

Add '4x' to each side of the equation.
-4x + 4x2 + 4x + 8x3 = -4x + 4x2 + 4x + 8x3

Reorder the terms:
-4x + 4x + 4x2 + 8x3 = -4x + 4x2 + 4x + 8x3

Combine like terms: -4x + 4x = 0
0 + 4x2 + 8x3 = -4x + 4x2 + 4x + 8x3
4x2 + 8x3 = -4x + 4x2 + 4x + 8x3

Reorder the terms:
4x2 + 8x3 = -4x + 4x + 4x2 + 8x3

Combine like terms: -4x + 4x = 0
4x2 + 8x3 = 0 + 4x2 + 8x3
4x2 + 8x3 = 4x2 + 8x3

Add '-4x2' to each side of the equation.
4x2 + -4x2 + 8x3 = 4x2 + -4x2 + 8x3

Combine like terms: 4x2 + -4x2 = 0
0 + 8x3 = 4x2 + -4x2 + 8x3
8x3 = 4x2 + -4x2 + 8x3

Combine like terms: 4x2 + -4x2 = 0
8x3 = 0 + 8x3
8x3 = 8x3

Add '-8x3' to each side of the equation.
8x3 + -8x3 = 8x3 + -8x3

Combine like terms: 8x3 + -8x3 = 0
0 = 8x3 + -8x3

Combine like terms: 8x3 + -8x3 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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