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

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


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

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

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

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

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

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

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

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

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

Add '-1' to each side of the equation.
1 + -1 + -1x3 = 1 + 2x + -1 + -1x3

Combine like terms: 1 + -1 = 0
0 + -1x3 = 1 + 2x + -1 + -1x3
-1x3 = 1 + 2x + -1 + -1x3

Reorder the terms:
-1x3 = 1 + -1 + 2x + -1x3

Combine like terms: 1 + -1 = 0
-1x3 = 0 + 2x + -1x3
-1x3 = 2x + -1x3

Add 'x3' to each side of the equation.
-1x3 + x3 = 2x + -1x3 + x3

Combine like terms: -1x3 + x3 = 0
0 = 2x + -1x3 + x3

Combine like terms: -1x3 + x3 = 0
0 = 2x + 0
0 = 2x

Solving
0 = 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
0 + -2x = 2x + -2x
Remove the zero:
-2x = 2x + -2x

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

Divide each side by '-2'.
x = 0

Simplifying
x = 0

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