(x^2-4x-2)(x^2-4x+1)=18

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Solution for (x^2-4x-2)(x^2-4x+1)=18 equation:


Simplifying
(x2 + -4x + -2)(x2 + -4x + 1) = 18

Reorder the terms:
(-2 + -4x + x2)(x2 + -4x + 1) = 18

Reorder the terms:
(-2 + -4x + x2)(1 + -4x + x2) = 18

Multiply (-2 + -4x + x2) * (1 + -4x + x2)
(-2(1 + -4x + x2) + -4x * (1 + -4x + x2) + x2(1 + -4x + x2)) = 18
((1 * -2 + -4x * -2 + x2 * -2) + -4x * (1 + -4x + x2) + x2(1 + -4x + x2)) = 18
((-2 + 8x + -2x2) + -4x * (1 + -4x + x2) + x2(1 + -4x + x2)) = 18
(-2 + 8x + -2x2 + (1 * -4x + -4x * -4x + x2 * -4x) + x2(1 + -4x + x2)) = 18
(-2 + 8x + -2x2 + (-4x + 16x2 + -4x3) + x2(1 + -4x + x2)) = 18
(-2 + 8x + -2x2 + -4x + 16x2 + -4x3 + (1 * x2 + -4x * x2 + x2 * x2)) = 18
(-2 + 8x + -2x2 + -4x + 16x2 + -4x3 + (1x2 + -4x3 + x4)) = 18

Reorder the terms:
(-2 + 8x + -4x + -2x2 + 16x2 + 1x2 + -4x3 + -4x3 + x4) = 18

Combine like terms: 8x + -4x = 4x
(-2 + 4x + -2x2 + 16x2 + 1x2 + -4x3 + -4x3 + x4) = 18

Combine like terms: -2x2 + 16x2 = 14x2
(-2 + 4x + 14x2 + 1x2 + -4x3 + -4x3 + x4) = 18

Combine like terms: 14x2 + 1x2 = 15x2
(-2 + 4x + 15x2 + -4x3 + -4x3 + x4) = 18

Combine like terms: -4x3 + -4x3 = -8x3
(-2 + 4x + 15x2 + -8x3 + x4) = 18

Solving
-2 + 4x + 15x2 + -8x3 + x4 = 18

Solving for variable 'x'.

Reorder the terms:
-2 + -18 + 4x + 15x2 + -8x3 + x4 = 18 + -18

Combine like terms: -2 + -18 = -20
-20 + 4x + 15x2 + -8x3 + x4 = 18 + -18

Combine like terms: 18 + -18 = 0
-20 + 4x + 15x2 + -8x3 + x4 = 0

The solution to this equation could not be determined.

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