(x^2-5x+2)(x^2-5x+2)-(x^2-5x)=8

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Solution for (x^2-5x+2)(x^2-5x+2)-(x^2-5x)=8 equation: 


Simplifying
(x2 + -5x + 2)(x2 + -5x + 2) + -1(x2 + -5x) = 8

Reorder the terms:
(2 + -5x + x2)(x2 + -5x + 2) + -1(x2 + -5x) = 8

Reorder the terms:
(2 + -5x + x2)(2 + -5x + x2) + -1(x2 + -5x) = 8

Multiply (2 + -5x + x2) * (2 + -5x + x2)
(2(2 + -5x + x2) + -5x * (2 + -5x + x2) + x2(2 + -5x + x2)) + -1(x2 + -5x) = 8
((2 * 2 + -5x * 2 + x2 * 2) + -5x * (2 + -5x + x2) + x2(2 + -5x + x2)) + -1(x2 + -5x) = 8
((4 + -10x + 2x2) + -5x * (2 + -5x + x2) + x2(2 + -5x + x2)) + -1(x2 + -5x) = 8
(4 + -10x + 2x2 + (2 * -5x + -5x * -5x + x2 * -5x) + x2(2 + -5x + x2)) + -1(x2 + -5x) = 8
(4 + -10x + 2x2 + (-10x + 25x2 + -5x3) + x2(2 + -5x + x2)) + -1(x2 + -5x) = 8
(4 + -10x + 2x2 + -10x + 25x2 + -5x3 + (2 * x2 + -5x * x2 + x2 * x2)) + -1(x2 + -5x) = 8
(4 + -10x + 2x2 + -10x + 25x2 + -5x3 + (2x2 + -5x3 + x4)) + -1(x2 + -5x) = 8

Reorder the terms:
(4 + -10x + -10x + 2x2 + 25x2 + 2x2 + -5x3 + -5x3 + x4) + -1(x2 + -5x) = 8

Combine like terms: -10x + -10x = -20x
(4 + -20x + 2x2 + 25x2 + 2x2 + -5x3 + -5x3 + x4) + -1(x2 + -5x) = 8

Combine like terms: 2x2 + 25x2 = 27x2
(4 + -20x + 27x2 + 2x2 + -5x3 + -5x3 + x4) + -1(x2 + -5x) = 8

Combine like terms: 27x2 + 2x2 = 29x2
(4 + -20x + 29x2 + -5x3 + -5x3 + x4) + -1(x2 + -5x) = 8

Combine like terms: -5x3 + -5x3 = -10x3
(4 + -20x + 29x2 + -10x3 + x4) + -1(x2 + -5x) = 8

Reorder the terms:
4 + -20x + 29x2 + -10x3 + x4 + -1(-5x + x2) = 8
4 + -20x + 29x2 + -10x3 + x4 + (-5x * -1 + x2 * -1) = 8
4 + -20x + 29x2 + -10x3 + x4 + (5x + -1x2) = 8

Reorder the terms:
4 + -20x + 5x + 29x2 + -1x2 + -10x3 + x4 = 8

Combine like terms: -20x + 5x = -15x
4 + -15x + 29x2 + -1x2 + -10x3 + x4 = 8

Combine like terms: 29x2 + -1x2 = 28x2
4 + -15x + 28x2 + -10x3 + x4 = 8

Solving
4 + -15x + 28x2 + -10x3 + x4 = 8

Solving for variable 'x'.

Reorder the terms:
4 + -8 + -15x + 28x2 + -10x3 + x4 = 8 + -8

Combine like terms: 4 + -8 = -4
-4 + -15x + 28x2 + -10x3 + x4 = 8 + -8

Combine like terms: 8 + -8 = 0
-4 + -15x + 28x2 + -10x3 + x4 = 0

The solution to this equation could not be determined.

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