(x+3)(x-2)(x-6)(x+7)+180=0

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Solution for (x+3)(x-2)(x-6)(x+7)+180=0 equation: 


Simplifying
(x + 3)(x + -2)(x + -6)(x + 7) + 180 = 0

Reorder the terms:
(3 + x)(x + -2)(x + -6)(x + 7) + 180 = 0

Reorder the terms:
(3 + x)(-2 + x)(x + -6)(x + 7) + 180 = 0

Reorder the terms:
(3 + x)(-2 + x)(-6 + x)(x + 7) + 180 = 0

Reorder the terms:
(3 + x)(-2 + x)(-6 + x)(7 + x) + 180 = 0

Multiply (3 + x) * (-2 + x)
(3(-2 + x) + x(-2 + x))(-6 + x)(7 + x) + 180 = 0
((-2 * 3 + x * 3) + x(-2 + x))(-6 + x)(7 + x) + 180 = 0
((-6 + 3x) + x(-2 + x))(-6 + x)(7 + x) + 180 = 0
(-6 + 3x + (-2 * x + x * x))(-6 + x)(7 + x) + 180 = 0
(-6 + 3x + (-2x + x2))(-6 + x)(7 + x) + 180 = 0

Combine like terms: 3x + -2x = 1x
(-6 + 1x + x2)(-6 + x)(7 + x) + 180 = 0

Multiply (-6 + 1x + x2) * (-6 + x)
(-6(-6 + x) + 1x * (-6 + x) + x2(-6 + x))(7 + x) + 180 = 0
((-6 * -6 + x * -6) + 1x * (-6 + x) + x2(-6 + x))(7 + x) + 180 = 0
((36 + -6x) + 1x * (-6 + x) + x2(-6 + x))(7 + x) + 180 = 0
(36 + -6x + (-6 * 1x + x * 1x) + x2(-6 + x))(7 + x) + 180 = 0
(36 + -6x + (-6x + 1x2) + x2(-6 + x))(7 + x) + 180 = 0
(36 + -6x + -6x + 1x2 + (-6 * x2 + x * x2))(7 + x) + 180 = 0
(36 + -6x + -6x + 1x2 + (-6x2 + x3))(7 + x) + 180 = 0

Combine like terms: -6x + -6x = -12x
(36 + -12x + 1x2 + -6x2 + x3)(7 + x) + 180 = 0

Combine like terms: 1x2 + -6x2 = -5x2
(36 + -12x + -5x2 + x3)(7 + x) + 180 = 0

Multiply (36 + -12x + -5x2 + x3) * (7 + x)
(36(7 + x) + -12x * (7 + x) + -5x2 * (7 + x) + x3(7 + x)) + 180 = 0
((7 * 36 + x * 36) + -12x * (7 + x) + -5x2 * (7 + x) + x3(7 + x)) + 180 = 0
((252 + 36x) + -12x * (7 + x) + -5x2 * (7 + x) + x3(7 + x)) + 180 = 0
(252 + 36x + (7 * -12x + x * -12x) + -5x2 * (7 + x) + x3(7 + x)) + 180 = 0
(252 + 36x + (-84x + -12x2) + -5x2 * (7 + x) + x3(7 + x)) + 180 = 0
(252 + 36x + -84x + -12x2 + (7 * -5x2 + x * -5x2) + x3(7 + x)) + 180 = 0
(252 + 36x + -84x + -12x2 + (-35x2 + -5x3) + x3(7 + x)) + 180 = 0
(252 + 36x + -84x + -12x2 + -35x2 + -5x3 + (7 * x3 + x * x3)) + 180 = 0
(252 + 36x + -84x + -12x2 + -35x2 + -5x3 + (7x3 + x4)) + 180 = 0

Combine like terms: 36x + -84x = -48x
(252 + -48x + -12x2 + -35x2 + -5x3 + 7x3 + x4) + 180 = 0

Combine like terms: -12x2 + -35x2 = -47x2
(252 + -48x + -47x2 + -5x3 + 7x3 + x4) + 180 = 0

Combine like terms: -5x3 + 7x3 = 2x3
(252 + -48x + -47x2 + 2x3 + x4) + 180 = 0

Reorder the terms:
252 + 180 + -48x + -47x2 + 2x3 + x4 = 0

Combine like terms: 252 + 180 = 432
432 + -48x + -47x2 + 2x3 + x4 = 0

Solving
432 + -48x + -47x2 + 2x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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