(x-1)(x+3)(x+2)(x-6)=20x^2

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Solution for (x-1)(x+3)(x+2)(x-6)=20x^2 equation: 


Simplifying
(x + -1)(x + 3)(x + 2)(x + -6) = 20x2

Reorder the terms:
(-1 + x)(x + 3)(x + 2)(x + -6) = 20x2

Reorder the terms:
(-1 + x)(3 + x)(x + 2)(x + -6) = 20x2

Reorder the terms:
(-1 + x)(3 + x)(2 + x)(x + -6) = 20x2

Reorder the terms:
(-1 + x)(3 + x)(2 + x)(-6 + x) = 20x2

Multiply (-1 + x) * (3 + x)
(-1(3 + x) + x(3 + x))(2 + x)(-6 + x) = 20x2
((3 * -1 + x * -1) + x(3 + x))(2 + x)(-6 + x) = 20x2
((-3 + -1x) + x(3 + x))(2 + x)(-6 + x) = 20x2
(-3 + -1x + (3 * x + x * x))(2 + x)(-6 + x) = 20x2
(-3 + -1x + (3x + x2))(2 + x)(-6 + x) = 20x2

Combine like terms: -1x + 3x = 2x
(-3 + 2x + x2)(2 + x)(-6 + x) = 20x2

Multiply (-3 + 2x + x2) * (2 + x)
(-3(2 + x) + 2x * (2 + x) + x2(2 + x))(-6 + x) = 20x2
((2 * -3 + x * -3) + 2x * (2 + x) + x2(2 + x))(-6 + x) = 20x2
((-6 + -3x) + 2x * (2 + x) + x2(2 + x))(-6 + x) = 20x2
(-6 + -3x + (2 * 2x + x * 2x) + x2(2 + x))(-6 + x) = 20x2
(-6 + -3x + (4x + 2x2) + x2(2 + x))(-6 + x) = 20x2
(-6 + -3x + 4x + 2x2 + (2 * x2 + x * x2))(-6 + x) = 20x2
(-6 + -3x + 4x + 2x2 + (2x2 + x3))(-6 + x) = 20x2

Combine like terms: -3x + 4x = 1x
(-6 + 1x + 2x2 + 2x2 + x3)(-6 + x) = 20x2

Combine like terms: 2x2 + 2x2 = 4x2
(-6 + 1x + 4x2 + x3)(-6 + x) = 20x2

Multiply (-6 + 1x + 4x2 + x3) * (-6 + x)
(-6(-6 + x) + 1x * (-6 + x) + 4x2 * (-6 + x) + x3(-6 + x)) = 20x2
((-6 * -6 + x * -6) + 1x * (-6 + x) + 4x2 * (-6 + x) + x3(-6 + x)) = 20x2
((36 + -6x) + 1x * (-6 + x) + 4x2 * (-6 + x) + x3(-6 + x)) = 20x2
(36 + -6x + (-6 * 1x + x * 1x) + 4x2 * (-6 + x) + x3(-6 + x)) = 20x2
(36 + -6x + (-6x + 1x2) + 4x2 * (-6 + x) + x3(-6 + x)) = 20x2
(36 + -6x + -6x + 1x2 + (-6 * 4x2 + x * 4x2) + x3(-6 + x)) = 20x2
(36 + -6x + -6x + 1x2 + (-24x2 + 4x3) + x3(-6 + x)) = 20x2
(36 + -6x + -6x + 1x2 + -24x2 + 4x3 + (-6 * x3 + x * x3)) = 20x2
(36 + -6x + -6x + 1x2 + -24x2 + 4x3 + (-6x3 + x4)) = 20x2

Combine like terms: -6x + -6x = -12x
(36 + -12x + 1x2 + -24x2 + 4x3 + -6x3 + x4) = 20x2

Combine like terms: 1x2 + -24x2 = -23x2
(36 + -12x + -23x2 + 4x3 + -6x3 + x4) = 20x2

Combine like terms: 4x3 + -6x3 = -2x3
(36 + -12x + -23x2 + -2x3 + x4) = 20x2

Solving
36 + -12x + -23x2 + -2x3 + x4 = 20x2

Solving for variable 'x'.

Reorder the terms:
36 + -12x + -23x2 + -20x2 + -2x3 + x4 = 20x2 + -20x2

Combine like terms: -23x2 + -20x2 = -43x2
36 + -12x + -43x2 + -2x3 + x4 = 20x2 + -20x2

Combine like terms: 20x2 + -20x2 = 0
36 + -12x + -43x2 + -2x3 + x4 = 0

The solution to this equation could not be determined.

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