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

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


Simplifying
(2x3 + 2x)(2x + -1) + (-2) = 2x4 + -1x3 + 2x2 + -3

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

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

Multiply (2x + 2x3) * (-1 + 2x)
(2x * (-1 + 2x) + 2x3 * (-1 + 2x)) + (-2) = 2x4 + -1x3 + 2x2 + -3
((-1 * 2x + 2x * 2x) + 2x3 * (-1 + 2x)) + (-2) = 2x4 + -1x3 + 2x2 + -3
((-2x + 4x2) + 2x3 * (-1 + 2x)) + (-2) = 2x4 + -1x3 + 2x2 + -3
(-2x + 4x2 + (-1 * 2x3 + 2x * 2x3)) + (-2) = 2x4 + -1x3 + 2x2 + -3
(-2x + 4x2 + (-2x3 + 4x4)) + (-2) = 2x4 + -1x3 + 2x2 + -3
(-2x + 4x2 + -2x3 + 4x4) + (-2) = 2x4 + -1x3 + 2x2 + -3
-2x + 4x2 + -2x3 + 4x4 + -2 = 2x4 + -1x3 + 2x2 + -3

Reorder the terms:
-2 + -2x + 4x2 + -2x3 + 4x4 = 2x4 + -1x3 + 2x2 + -3

Reorder the terms:
-2 + -2x + 4x2 + -2x3 + 4x4 = -3 + 2x2 + -1x3 + 2x4

Solving
-2 + -2x + 4x2 + -2x3 + 4x4 = -3 + 2x2 + -1x3 + 2x4

Solving for variable 'x'.

Reorder the terms:
-2 + 3 + -2x + 4x2 + -2x2 + -2x3 + x3 + 4x4 + -2x4 = -3 + 2x2 + -1x3 + 2x4 + 3 + -2x2 + x3 + -2x4

Combine like terms: -2 + 3 = 1
1 + -2x + 4x2 + -2x2 + -2x3 + x3 + 4x4 + -2x4 = -3 + 2x2 + -1x3 + 2x4 + 3 + -2x2 + x3 + -2x4

Combine like terms: 4x2 + -2x2 = 2x2
1 + -2x + 2x2 + -2x3 + x3 + 4x4 + -2x4 = -3 + 2x2 + -1x3 + 2x4 + 3 + -2x2 + x3 + -2x4

Combine like terms: -2x3 + x3 = -1x3
1 + -2x + 2x2 + -1x3 + 4x4 + -2x4 = -3 + 2x2 + -1x3 + 2x4 + 3 + -2x2 + x3 + -2x4

Combine like terms: 4x4 + -2x4 = 2x4
1 + -2x + 2x2 + -1x3 + 2x4 = -3 + 2x2 + -1x3 + 2x4 + 3 + -2x2 + x3 + -2x4

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

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

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

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

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

The solution to this equation could not be determined.

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