2(x-1)(x^2+x+1)-x(x+2)(2-x)=5

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Solution for 2(x-1)(x^2+x+1)-x(x+2)(2-x)=5 equation:


Simplifying
2(x + -1)(x2 + x + 1) + -1x(x + 2)(2 + -1x) = 5

Reorder the terms:
2(-1 + x)(x2 + x + 1) + -1x(x + 2)(2 + -1x) = 5

Reorder the terms:
2(-1 + x)(1 + x + x2) + -1x(x + 2)(2 + -1x) = 5

Multiply (-1 + x) * (1 + x + x2)
2(-1(1 + x + x2) + x(1 + x + x2)) + -1x(x + 2)(2 + -1x) = 5
2((1 * -1 + x * -1 + x2 * -1) + x(1 + x + x2)) + -1x(x + 2)(2 + -1x) = 5
2((-1 + -1x + -1x2) + x(1 + x + x2)) + -1x(x + 2)(2 + -1x) = 5
2(-1 + -1x + -1x2 + (1 * x + x * x + x2 * x)) + -1x(x + 2)(2 + -1x) = 5
2(-1 + -1x + -1x2 + (1x + x2 + x3)) + -1x(x + 2)(2 + -1x) = 5

Reorder the terms:
2(-1 + -1x + 1x + -1x2 + x2 + x3) + -1x(x + 2)(2 + -1x) = 5

Combine like terms: -1x + 1x = 0
2(-1 + 0 + -1x2 + x2 + x3) + -1x(x + 2)(2 + -1x) = 5
2(-1 + -1x2 + x2 + x3) + -1x(x + 2)(2 + -1x) = 5

Combine like terms: -1x2 + x2 = 0
2(-1 + 0 + x3) + -1x(x + 2)(2 + -1x) = 5
2(-1 + x3) + -1x(x + 2)(2 + -1x) = 5
(-1 * 2 + x3 * 2) + -1x(x + 2)(2 + -1x) = 5
(-2 + 2x3) + -1x(x + 2)(2 + -1x) = 5

Reorder the terms:
-2 + 2x3 + -1x(2 + x)(2 + -1x) = 5

Multiply (2 + x) * (2 + -1x)
-2 + 2x3 + -1x(2(2 + -1x) + x(2 + -1x)) = 5
-2 + 2x3 + -1x((2 * 2 + -1x * 2) + x(2 + -1x)) = 5
-2 + 2x3 + -1x((4 + -2x) + x(2 + -1x)) = 5
-2 + 2x3 + -1x(4 + -2x + (2 * x + -1x * x)) = 5
-2 + 2x3 + -1x(4 + -2x + (2x + -1x2)) = 5

Combine like terms: -2x + 2x = 0
-2 + 2x3 + -1x(4 + 0 + -1x2) = 5
-2 + 2x3 + -1x(4 + -1x2) = 5
-2 + 2x3 + (4 * -1x + -1x2 * -1x) = 5
-2 + 2x3 + (-4x + 1x3) = 5

Reorder the terms:
-2 + -4x + 2x3 + 1x3 = 5

Combine like terms: 2x3 + 1x3 = 3x3
-2 + -4x + 3x3 = 5

Solving
-2 + -4x + 3x3 = 5

Solving for variable 'x'.

Reorder the terms:
-2 + -5 + -4x + 3x3 = 5 + -5

Combine like terms: -2 + -5 = -7
-7 + -4x + 3x3 = 5 + -5

Combine like terms: 5 + -5 = 0
-7 + -4x + 3x3 = 0

The solution to this equation could not be determined.

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