(3x-17)(x+40)(2x-5)=180

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Solution for (3x-17)(x+40)(2x-5)=180 equation: 


Simplifying
(3x + -17)(x + 40)(2x + -5) = 180

Reorder the terms:
(-17 + 3x)(x + 40)(2x + -5) = 180

Reorder the terms:
(-17 + 3x)(40 + x)(2x + -5) = 180

Reorder the terms:
(-17 + 3x)(40 + x)(-5 + 2x) = 180

Multiply (-17 + 3x) * (40 + x)
(-17(40 + x) + 3x * (40 + x))(-5 + 2x) = 180
((40 * -17 + x * -17) + 3x * (40 + x))(-5 + 2x) = 180
((-680 + -17x) + 3x * (40 + x))(-5 + 2x) = 180
(-680 + -17x + (40 * 3x + x * 3x))(-5 + 2x) = 180
(-680 + -17x + (120x + 3x2))(-5 + 2x) = 180

Combine like terms: -17x + 120x = 103x
(-680 + 103x + 3x2)(-5 + 2x) = 180

Multiply (-680 + 103x + 3x2) * (-5 + 2x)
(-680(-5 + 2x) + 103x * (-5 + 2x) + 3x2 * (-5 + 2x)) = 180
((-5 * -680 + 2x * -680) + 103x * (-5 + 2x) + 3x2 * (-5 + 2x)) = 180
((3400 + -1360x) + 103x * (-5 + 2x) + 3x2 * (-5 + 2x)) = 180
(3400 + -1360x + (-5 * 103x + 2x * 103x) + 3x2 * (-5 + 2x)) = 180
(3400 + -1360x + (-515x + 206x2) + 3x2 * (-5 + 2x)) = 180
(3400 + -1360x + -515x + 206x2 + (-5 * 3x2 + 2x * 3x2)) = 180
(3400 + -1360x + -515x + 206x2 + (-15x2 + 6x3)) = 180

Combine like terms: -1360x + -515x = -1875x
(3400 + -1875x + 206x2 + -15x2 + 6x3) = 180

Combine like terms: 206x2 + -15x2 = 191x2
(3400 + -1875x + 191x2 + 6x3) = 180

Solving
3400 + -1875x + 191x2 + 6x3 = 180

Solving for variable 'x'.

Reorder the terms:
3400 + -180 + -1875x + 191x2 + 6x3 = 180 + -180

Combine like terms: 3400 + -180 = 3220
3220 + -1875x + 191x2 + 6x3 = 180 + -180

Combine like terms: 180 + -180 = 0
3220 + -1875x + 191x2 + 6x3 = 0

The solution to this equation could not be determined.

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