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

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


Simplifying
2(x + -1)(x2 + x + 1) + x(x + 2)(2 + -1x) = 3

Reorder the terms:
2(-1 + x)(x2 + x + 1) + x(x + 2)(2 + -1x) = 3

Reorder the terms:
2(-1 + x)(1 + x + x2) + x(x + 2)(2 + -1x) = 3

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

Reorder the terms:
2(-1 + -1x + 1x + -1x2 + x2 + x3) + x(x + 2)(2 + -1x) = 3

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

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

Reorder the terms:
-2 + 2x3 + x(2 + x)(2 + -1x) = 3

Multiply (2 + x) * (2 + -1x)
-2 + 2x3 + x(2(2 + -1x) + x(2 + -1x)) = 3
-2 + 2x3 + x((2 * 2 + -1x * 2) + x(2 + -1x)) = 3
-2 + 2x3 + x((4 + -2x) + x(2 + -1x)) = 3
-2 + 2x3 + x(4 + -2x + (2 * x + -1x * x)) = 3
-2 + 2x3 + x(4 + -2x + (2x + -1x2)) = 3

Combine like terms: -2x + 2x = 0
-2 + 2x3 + x(4 + 0 + -1x2) = 3
-2 + 2x3 + x(4 + -1x2) = 3
-2 + 2x3 + (4 * x + -1x2 * x) = 3
-2 + 2x3 + (4x + -1x3) = 3

Reorder the terms:
-2 + 4x + 2x3 + -1x3 = 3

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

Solving
-2 + 4x + 1x3 = 3

Solving for variable 'x'.

Reorder the terms:
-2 + -3 + 4x + 1x3 = 3 + -3

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

Combine like terms: 3 + -3 = 0
-5 + 4x + 1x3 = 0

The solution to this equation could not be determined.

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