(2x^2+3x-1)(2x^2+3x-2)=56

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Solution for (2x^2+3x-1)(2x^2+3x-2)=56 equation: 


Simplifying
(2x2 + 3x + -1)(2x2 + 3x + -2) = 56

Reorder the terms:
(-1 + 3x + 2x2)(2x2 + 3x + -2) = 56

Reorder the terms:
(-1 + 3x + 2x2)(-2 + 3x + 2x2) = 56

Multiply (-1 + 3x + 2x2) * (-2 + 3x + 2x2)
(-1(-2 + 3x + 2x2) + 3x * (-2 + 3x + 2x2) + 2x2 * (-2 + 3x + 2x2)) = 56
((-2 * -1 + 3x * -1 + 2x2 * -1) + 3x * (-2 + 3x + 2x2) + 2x2 * (-2 + 3x + 2x2)) = 56
((2 + -3x + -2x2) + 3x * (-2 + 3x + 2x2) + 2x2 * (-2 + 3x + 2x2)) = 56
(2 + -3x + -2x2 + (-2 * 3x + 3x * 3x + 2x2 * 3x) + 2x2 * (-2 + 3x + 2x2)) = 56
(2 + -3x + -2x2 + (-6x + 9x2 + 6x3) + 2x2 * (-2 + 3x + 2x2)) = 56
(2 + -3x + -2x2 + -6x + 9x2 + 6x3 + (-2 * 2x2 + 3x * 2x2 + 2x2 * 2x2)) = 56
(2 + -3x + -2x2 + -6x + 9x2 + 6x3 + (-4x2 + 6x3 + 4x4)) = 56

Reorder the terms:
(2 + -3x + -6x + -2x2 + 9x2 + -4x2 + 6x3 + 6x3 + 4x4) = 56

Combine like terms: -3x + -6x = -9x
(2 + -9x + -2x2 + 9x2 + -4x2 + 6x3 + 6x3 + 4x4) = 56

Combine like terms: -2x2 + 9x2 = 7x2
(2 + -9x + 7x2 + -4x2 + 6x3 + 6x3 + 4x4) = 56

Combine like terms: 7x2 + -4x2 = 3x2
(2 + -9x + 3x2 + 6x3 + 6x3 + 4x4) = 56

Combine like terms: 6x3 + 6x3 = 12x3
(2 + -9x + 3x2 + 12x3 + 4x4) = 56

Solving
2 + -9x + 3x2 + 12x3 + 4x4 = 56

Solving for variable 'x'.

Reorder the terms:
2 + -56 + -9x + 3x2 + 12x3 + 4x4 = 56 + -56

Combine like terms: 2 + -56 = -54
-54 + -9x + 3x2 + 12x3 + 4x4 = 56 + -56

Combine like terms: 56 + -56 = 0
-54 + -9x + 3x2 + 12x3 + 4x4 = 0

The solution to this equation could not be determined.

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