(2x+7)(5x+2)(x-4)=180

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Solution for (2x+7)(5x+2)(x-4)=180 equation: 


Simplifying
(2x + 7)(5x + 2)(x + -4) = 180

Reorder the terms:
(7 + 2x)(5x + 2)(x + -4) = 180

Reorder the terms:
(7 + 2x)(2 + 5x)(x + -4) = 180

Reorder the terms:
(7 + 2x)(2 + 5x)(-4 + x) = 180

Multiply (7 + 2x) * (2 + 5x)
(7(2 + 5x) + 2x * (2 + 5x))(-4 + x) = 180
((2 * 7 + 5x * 7) + 2x * (2 + 5x))(-4 + x) = 180
((14 + 35x) + 2x * (2 + 5x))(-4 + x) = 180
(14 + 35x + (2 * 2x + 5x * 2x))(-4 + x) = 180
(14 + 35x + (4x + 10x2))(-4 + x) = 180

Combine like terms: 35x + 4x = 39x
(14 + 39x + 10x2)(-4 + x) = 180

Multiply (14 + 39x + 10x2) * (-4 + x)
(14(-4 + x) + 39x * (-4 + x) + 10x2 * (-4 + x)) = 180
((-4 * 14 + x * 14) + 39x * (-4 + x) + 10x2 * (-4 + x)) = 180
((-56 + 14x) + 39x * (-4 + x) + 10x2 * (-4 + x)) = 180
(-56 + 14x + (-4 * 39x + x * 39x) + 10x2 * (-4 + x)) = 180
(-56 + 14x + (-156x + 39x2) + 10x2 * (-4 + x)) = 180
(-56 + 14x + -156x + 39x2 + (-4 * 10x2 + x * 10x2)) = 180
(-56 + 14x + -156x + 39x2 + (-40x2 + 10x3)) = 180

Combine like terms: 14x + -156x = -142x
(-56 + -142x + 39x2 + -40x2 + 10x3) = 180

Combine like terms: 39x2 + -40x2 = -1x2
(-56 + -142x + -1x2 + 10x3) = 180

Solving
-56 + -142x + -1x2 + 10x3 = 180

Solving for variable 'x'.

Reorder the terms:
-56 + -180 + -142x + -1x2 + 10x3 = 180 + -180

Combine like terms: -56 + -180 = -236
-236 + -142x + -1x2 + 10x3 = 180 + -180

Combine like terms: 180 + -180 = 0
-236 + -142x + -1x2 + 10x3 = 0

The solution to this equation could not be determined.

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