(x-x^2)(2x^2+x-1)=5+2x-3x^2

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Solution for (x-x^2)(2x^2+x-1)=5+2x-3x^2 equation: 


Simplifying
(x + -1x2)(2x2 + x + -1) = 5 + 2x + -3x2

Reorder the terms:
(x + -1x2)(-1 + x + 2x2) = 5 + 2x + -3x2

Multiply (x + -1x2) * (-1 + x + 2x2)
(x(-1 + x + 2x2) + -1x2 * (-1 + x + 2x2)) = 5 + 2x + -3x2
((-1 * x + x * x + 2x2 * x) + -1x2 * (-1 + x + 2x2)) = 5 + 2x + -3x2
((-1x + x2 + 2x3) + -1x2 * (-1 + x + 2x2)) = 5 + 2x + -3x2
(-1x + x2 + 2x3 + (-1 * -1x2 + x * -1x2 + 2x2 * -1x2)) = 5 + 2x + -3x2
(-1x + x2 + 2x3 + (1x2 + -1x3 + -2x4)) = 5 + 2x + -3x2

Reorder the terms:
(-1x + x2 + 1x2 + 2x3 + -1x3 + -2x4) = 5 + 2x + -3x2

Combine like terms: x2 + 1x2 = 2x2
(-1x + 2x2 + 2x3 + -1x3 + -2x4) = 5 + 2x + -3x2

Combine like terms: 2x3 + -1x3 = 1x3
(-1x + 2x2 + 1x3 + -2x4) = 5 + 2x + -3x2

Solving
-1x + 2x2 + 1x3 + -2x4 = 5 + 2x + -3x2

Solving for variable 'x'.

Reorder the terms:
-5 + -1x + -2x + 2x2 + 3x2 + 1x3 + -2x4 = 5 + 2x + -3x2 + -5 + -2x + 3x2

Combine like terms: -1x + -2x = -3x
-5 + -3x + 2x2 + 3x2 + 1x3 + -2x4 = 5 + 2x + -3x2 + -5 + -2x + 3x2

Combine like terms: 2x2 + 3x2 = 5x2
-5 + -3x + 5x2 + 1x3 + -2x4 = 5 + 2x + -3x2 + -5 + -2x + 3x2

Reorder the terms:
-5 + -3x + 5x2 + 1x3 + -2x4 = 5 + -5 + 2x + -2x + -3x2 + 3x2

Combine like terms: 5 + -5 = 0
-5 + -3x + 5x2 + 1x3 + -2x4 = 0 + 2x + -2x + -3x2 + 3x2
-5 + -3x + 5x2 + 1x3 + -2x4 = 2x + -2x + -3x2 + 3x2

Combine like terms: 2x + -2x = 0
-5 + -3x + 5x2 + 1x3 + -2x4 = 0 + -3x2 + 3x2
-5 + -3x + 5x2 + 1x3 + -2x4 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-5 + -3x + 5x2 + 1x3 + -2x4 = 0

The solution to this equation could not be determined.

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