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

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


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

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

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

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

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

Multiply (6 + x) * (-7 + x)
(6(-7 + x) + x(-7 + x))(2 + x)(3 + x) + 180 = 0
((-7 * 6 + x * 6) + x(-7 + x))(2 + x)(3 + x) + 180 = 0
((-42 + 6x) + x(-7 + x))(2 + x)(3 + x) + 180 = 0
(-42 + 6x + (-7 * x + x * x))(2 + x)(3 + x) + 180 = 0
(-42 + 6x + (-7x + x2))(2 + x)(3 + x) + 180 = 0

Combine like terms: 6x + -7x = -1x
(-42 + -1x + x2)(2 + x)(3 + x) + 180 = 0

Multiply (-42 + -1x + x2) * (2 + x)
(-42(2 + x) + -1x * (2 + x) + x2(2 + x))(3 + x) + 180 = 0
((2 * -42 + x * -42) + -1x * (2 + x) + x2(2 + x))(3 + x) + 180 = 0
((-84 + -42x) + -1x * (2 + x) + x2(2 + x))(3 + x) + 180 = 0
(-84 + -42x + (2 * -1x + x * -1x) + x2(2 + x))(3 + x) + 180 = 0
(-84 + -42x + (-2x + -1x2) + x2(2 + x))(3 + x) + 180 = 0
(-84 + -42x + -2x + -1x2 + (2 * x2 + x * x2))(3 + x) + 180 = 0
(-84 + -42x + -2x + -1x2 + (2x2 + x3))(3 + x) + 180 = 0

Combine like terms: -42x + -2x = -44x
(-84 + -44x + -1x2 + 2x2 + x3)(3 + x) + 180 = 0

Combine like terms: -1x2 + 2x2 = 1x2
(-84 + -44x + 1x2 + x3)(3 + x) + 180 = 0

Multiply (-84 + -44x + 1x2 + x3) * (3 + x)
(-84(3 + x) + -44x * (3 + x) + 1x2 * (3 + x) + x3(3 + x)) + 180 = 0
((3 * -84 + x * -84) + -44x * (3 + x) + 1x2 * (3 + x) + x3(3 + x)) + 180 = 0
((-252 + -84x) + -44x * (3 + x) + 1x2 * (3 + x) + x3(3 + x)) + 180 = 0
(-252 + -84x + (3 * -44x + x * -44x) + 1x2 * (3 + x) + x3(3 + x)) + 180 = 0
(-252 + -84x + (-132x + -44x2) + 1x2 * (3 + x) + x3(3 + x)) + 180 = 0
(-252 + -84x + -132x + -44x2 + (3 * 1x2 + x * 1x2) + x3(3 + x)) + 180 = 0
(-252 + -84x + -132x + -44x2 + (3x2 + 1x3) + x3(3 + x)) + 180 = 0
(-252 + -84x + -132x + -44x2 + 3x2 + 1x3 + (3 * x3 + x * x3)) + 180 = 0
(-252 + -84x + -132x + -44x2 + 3x2 + 1x3 + (3x3 + x4)) + 180 = 0

Combine like terms: -84x + -132x = -216x
(-252 + -216x + -44x2 + 3x2 + 1x3 + 3x3 + x4) + 180 = 0

Combine like terms: -44x2 + 3x2 = -41x2
(-252 + -216x + -41x2 + 1x3 + 3x3 + x4) + 180 = 0

Combine like terms: 1x3 + 3x3 = 4x3
(-252 + -216x + -41x2 + 4x3 + x4) + 180 = 0

Reorder the terms:
-252 + 180 + -216x + -41x2 + 4x3 + x4 = 0

Combine like terms: -252 + 180 = -72
-72 + -216x + -41x2 + 4x3 + x4 = 0

Solving
-72 + -216x + -41x2 + 4x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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