(x-4)(x^2+15x+50)(x-2)=18x^2

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Solution for (x-4)(x^2+15x+50)(x-2)=18x^2 equation: 


Simplifying
(x + -4)(x2 + 15x + 50)(x + -2) = 18x2

Reorder the terms:
(-4 + x)(x2 + 15x + 50)(x + -2) = 18x2

Reorder the terms:
(-4 + x)(50 + 15x + x2)(x + -2) = 18x2

Reorder the terms:
(-4 + x)(50 + 15x + x2)(-2 + x) = 18x2

Multiply (-4 + x) * (50 + 15x + x2)
(-4(50 + 15x + x2) + x(50 + 15x + x2))(-2 + x) = 18x2
((50 * -4 + 15x * -4 + x2 * -4) + x(50 + 15x + x2))(-2 + x) = 18x2
((-200 + -60x + -4x2) + x(50 + 15x + x2))(-2 + x) = 18x2
(-200 + -60x + -4x2 + (50 * x + 15x * x + x2 * x))(-2 + x) = 18x2
(-200 + -60x + -4x2 + (50x + 15x2 + x3))(-2 + x) = 18x2

Reorder the terms:
(-200 + -60x + 50x + -4x2 + 15x2 + x3)(-2 + x) = 18x2

Combine like terms: -60x + 50x = -10x
(-200 + -10x + -4x2 + 15x2 + x3)(-2 + x) = 18x2

Combine like terms: -4x2 + 15x2 = 11x2
(-200 + -10x + 11x2 + x3)(-2 + x) = 18x2

Multiply (-200 + -10x + 11x2 + x3) * (-2 + x)
(-200(-2 + x) + -10x * (-2 + x) + 11x2 * (-2 + x) + x3(-2 + x)) = 18x2
((-2 * -200 + x * -200) + -10x * (-2 + x) + 11x2 * (-2 + x) + x3(-2 + x)) = 18x2
((400 + -200x) + -10x * (-2 + x) + 11x2 * (-2 + x) + x3(-2 + x)) = 18x2
(400 + -200x + (-2 * -10x + x * -10x) + 11x2 * (-2 + x) + x3(-2 + x)) = 18x2
(400 + -200x + (20x + -10x2) + 11x2 * (-2 + x) + x3(-2 + x)) = 18x2
(400 + -200x + 20x + -10x2 + (-2 * 11x2 + x * 11x2) + x3(-2 + x)) = 18x2
(400 + -200x + 20x + -10x2 + (-22x2 + 11x3) + x3(-2 + x)) = 18x2
(400 + -200x + 20x + -10x2 + -22x2 + 11x3 + (-2 * x3 + x * x3)) = 18x2
(400 + -200x + 20x + -10x2 + -22x2 + 11x3 + (-2x3 + x4)) = 18x2

Combine like terms: -200x + 20x = -180x
(400 + -180x + -10x2 + -22x2 + 11x3 + -2x3 + x4) = 18x2

Combine like terms: -10x2 + -22x2 = -32x2
(400 + -180x + -32x2 + 11x3 + -2x3 + x4) = 18x2

Combine like terms: 11x3 + -2x3 = 9x3
(400 + -180x + -32x2 + 9x3 + x4) = 18x2

Solving
400 + -180x + -32x2 + 9x3 + x4 = 18x2

Solving for variable 'x'.

Reorder the terms:
400 + -180x + -32x2 + -18x2 + 9x3 + x4 = 18x2 + -18x2

Combine like terms: -32x2 + -18x2 = -50x2
400 + -180x + -50x2 + 9x3 + x4 = 18x2 + -18x2

Combine like terms: 18x2 + -18x2 = 0
400 + -180x + -50x2 + 9x3 + x4 = 0

The solution to this equation could not be determined.

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