(x^2-x-2)(x^2-3x-18)=16x^2

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Solution for (x^2-x-2)(x^2-3x-18)=16x^2 equation:


Simplifying
(x2 + -1x + -2)(x2 + -3x + -18) = 16x2

Reorder the terms:
(-2 + -1x + x2)(x2 + -3x + -18) = 16x2

Reorder the terms:
(-2 + -1x + x2)(-18 + -3x + x2) = 16x2

Multiply (-2 + -1x + x2) * (-18 + -3x + x2)
(-2(-18 + -3x + x2) + -1x * (-18 + -3x + x2) + x2(-18 + -3x + x2)) = 16x2
((-18 * -2 + -3x * -2 + x2 * -2) + -1x * (-18 + -3x + x2) + x2(-18 + -3x + x2)) = 16x2
((36 + 6x + -2x2) + -1x * (-18 + -3x + x2) + x2(-18 + -3x + x2)) = 16x2
(36 + 6x + -2x2 + (-18 * -1x + -3x * -1x + x2 * -1x) + x2(-18 + -3x + x2)) = 16x2
(36 + 6x + -2x2 + (18x + 3x2 + -1x3) + x2(-18 + -3x + x2)) = 16x2
(36 + 6x + -2x2 + 18x + 3x2 + -1x3 + (-18 * x2 + -3x * x2 + x2 * x2)) = 16x2
(36 + 6x + -2x2 + 18x + 3x2 + -1x3 + (-18x2 + -3x3 + x4)) = 16x2

Reorder the terms:
(36 + 6x + 18x + -2x2 + 3x2 + -18x2 + -1x3 + -3x3 + x4) = 16x2

Combine like terms: 6x + 18x = 24x
(36 + 24x + -2x2 + 3x2 + -18x2 + -1x3 + -3x3 + x4) = 16x2

Combine like terms: -2x2 + 3x2 = 1x2
(36 + 24x + 1x2 + -18x2 + -1x3 + -3x3 + x4) = 16x2

Combine like terms: 1x2 + -18x2 = -17x2
(36 + 24x + -17x2 + -1x3 + -3x3 + x4) = 16x2

Combine like terms: -1x3 + -3x3 = -4x3
(36 + 24x + -17x2 + -4x3 + x4) = 16x2

Solving
36 + 24x + -17x2 + -4x3 + x4 = 16x2

Solving for variable 'x'.

Reorder the terms:
36 + 24x + -17x2 + -16x2 + -4x3 + x4 = 16x2 + -16x2

Combine like terms: -17x2 + -16x2 = -33x2
36 + 24x + -33x2 + -4x3 + x4 = 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
36 + 24x + -33x2 + -4x3 + x4 = 0

The solution to this equation could not be determined.

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