(x^2-3x+2)(x^2-3x-4)-(x^2-3x+8)=0

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Solution for (x^2-3x+2)(x^2-3x-4)-(x^2-3x+8)=0 equation: 


Simplifying
(x2 + -3x + 2)(x2 + -3x + -4) + -1(x2 + -3x + 8) = 0

Reorder the terms:
(2 + -3x + x2)(x2 + -3x + -4) + -1(x2 + -3x + 8) = 0

Reorder the terms:
(2 + -3x + x2)(-4 + -3x + x2) + -1(x2 + -3x + 8) = 0

Multiply (2 + -3x + x2) * (-4 + -3x + x2)
(2(-4 + -3x + x2) + -3x * (-4 + -3x + x2) + x2(-4 + -3x + x2)) + -1(x2 + -3x + 8) = 0
((-4 * 2 + -3x * 2 + x2 * 2) + -3x * (-4 + -3x + x2) + x2(-4 + -3x + x2)) + -1(x2 + -3x + 8) = 0
((-8 + -6x + 2x2) + -3x * (-4 + -3x + x2) + x2(-4 + -3x + x2)) + -1(x2 + -3x + 8) = 0
(-8 + -6x + 2x2 + (-4 * -3x + -3x * -3x + x2 * -3x) + x2(-4 + -3x + x2)) + -1(x2 + -3x + 8) = 0
(-8 + -6x + 2x2 + (12x + 9x2 + -3x3) + x2(-4 + -3x + x2)) + -1(x2 + -3x + 8) = 0
(-8 + -6x + 2x2 + 12x + 9x2 + -3x3 + (-4 * x2 + -3x * x2 + x2 * x2)) + -1(x2 + -3x + 8) = 0
(-8 + -6x + 2x2 + 12x + 9x2 + -3x3 + (-4x2 + -3x3 + x4)) + -1(x2 + -3x + 8) = 0

Reorder the terms:
(-8 + -6x + 12x + 2x2 + 9x2 + -4x2 + -3x3 + -3x3 + x4) + -1(x2 + -3x + 8) = 0

Combine like terms: -6x + 12x = 6x
(-8 + 6x + 2x2 + 9x2 + -4x2 + -3x3 + -3x3 + x4) + -1(x2 + -3x + 8) = 0

Combine like terms: 2x2 + 9x2 = 11x2
(-8 + 6x + 11x2 + -4x2 + -3x3 + -3x3 + x4) + -1(x2 + -3x + 8) = 0

Combine like terms: 11x2 + -4x2 = 7x2
(-8 + 6x + 7x2 + -3x3 + -3x3 + x4) + -1(x2 + -3x + 8) = 0

Combine like terms: -3x3 + -3x3 = -6x3
(-8 + 6x + 7x2 + -6x3 + x4) + -1(x2 + -3x + 8) = 0

Reorder the terms:
-8 + 6x + 7x2 + -6x3 + x4 + -1(8 + -3x + x2) = 0
-8 + 6x + 7x2 + -6x3 + x4 + (8 * -1 + -3x * -1 + x2 * -1) = 0
-8 + 6x + 7x2 + -6x3 + x4 + (-8 + 3x + -1x2) = 0

Reorder the terms:
-8 + -8 + 6x + 3x + 7x2 + -1x2 + -6x3 + x4 = 0

Combine like terms: -8 + -8 = -16
-16 + 6x + 3x + 7x2 + -1x2 + -6x3 + x4 = 0

Combine like terms: 6x + 3x = 9x
-16 + 9x + 7x2 + -1x2 + -6x3 + x4 = 0

Combine like terms: 7x2 + -1x2 = 6x2
-16 + 9x + 6x2 + -6x3 + x4 = 0

Solving
-16 + 9x + 6x2 + -6x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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