(2x^2+x-1)(2x^2+x-4)+2=0

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Solution for (2x^2+x-1)(2x^2+x-4)+2=0 equation:


Simplifying
(2x2 + x + -1)(2x2 + x + -4) + 2 = 0

Reorder the terms:
(-1 + x + 2x2)(2x2 + x + -4) + 2 = 0

Reorder the terms:
(-1 + x + 2x2)(-4 + x + 2x2) + 2 = 0

Multiply (-1 + x + 2x2) * (-4 + x + 2x2)
(-1(-4 + x + 2x2) + x(-4 + x + 2x2) + 2x2 * (-4 + x + 2x2)) + 2 = 0
((-4 * -1 + x * -1 + 2x2 * -1) + x(-4 + x + 2x2) + 2x2 * (-4 + x + 2x2)) + 2 = 0
((4 + -1x + -2x2) + x(-4 + x + 2x2) + 2x2 * (-4 + x + 2x2)) + 2 = 0
(4 + -1x + -2x2 + (-4 * x + x * x + 2x2 * x) + 2x2 * (-4 + x + 2x2)) + 2 = 0
(4 + -1x + -2x2 + (-4x + x2 + 2x3) + 2x2 * (-4 + x + 2x2)) + 2 = 0
(4 + -1x + -2x2 + -4x + x2 + 2x3 + (-4 * 2x2 + x * 2x2 + 2x2 * 2x2)) + 2 = 0
(4 + -1x + -2x2 + -4x + x2 + 2x3 + (-8x2 + 2x3 + 4x4)) + 2 = 0

Reorder the terms:
(4 + -1x + -4x + -2x2 + x2 + -8x2 + 2x3 + 2x3 + 4x4) + 2 = 0

Combine like terms: -1x + -4x = -5x
(4 + -5x + -2x2 + x2 + -8x2 + 2x3 + 2x3 + 4x4) + 2 = 0

Combine like terms: -2x2 + x2 = -1x2
(4 + -5x + -1x2 + -8x2 + 2x3 + 2x3 + 4x4) + 2 = 0

Combine like terms: -1x2 + -8x2 = -9x2
(4 + -5x + -9x2 + 2x3 + 2x3 + 4x4) + 2 = 0

Combine like terms: 2x3 + 2x3 = 4x3
(4 + -5x + -9x2 + 4x3 + 4x4) + 2 = 0

Reorder the terms:
4 + 2 + -5x + -9x2 + 4x3 + 4x4 = 0

Combine like terms: 4 + 2 = 6
6 + -5x + -9x2 + 4x3 + 4x4 = 0

Solving
6 + -5x + -9x2 + 4x3 + 4x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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