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

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


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

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

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

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

Multiply (40 + X) * (-5 + 2x)
(40(-5 + 2x) + X(-5 + 2x))(-17 + 3x) = 180
((-5 * 40 + 2x * 40) + X(-5 + 2x))(-17 + 3x) = 180
((-200 + 80x) + X(-5 + 2x))(-17 + 3x) = 180
(-200 + 80x + (-5 * X + 2x * X))(-17 + 3x) = 180
(-200 + 80x + (-5X + 2xX))(-17 + 3x) = 180

Reorder the terms:
(-200 + -5X + 80x + 2xX)(-17 + 3x) = 180
(-200 + -5X + 80x + 2xX)(-17 + 3x) = 180

Multiply (-200 + -5X + 80x + 2xX) * (-17 + 3x)
(-200(-17 + 3x) + -5X * (-17 + 3x) + 80x * (-17 + 3x) + 2xX * (-17 + 3x)) = 180
((-17 * -200 + 3x * -200) + -5X * (-17 + 3x) + 80x * (-17 + 3x) + 2xX * (-17 + 3x)) = 180
((3400 + -600x) + -5X * (-17 + 3x) + 80x * (-17 + 3x) + 2xX * (-17 + 3x)) = 180
(3400 + -600x + (-17 * -5X + 3x * -5X) + 80x * (-17 + 3x) + 2xX * (-17 + 3x)) = 180
(3400 + -600x + (85X + -15xX) + 80x * (-17 + 3x) + 2xX * (-17 + 3x)) = 180
(3400 + -600x + 85X + -15xX + (-17 * 80x + 3x * 80x) + 2xX * (-17 + 3x)) = 180
(3400 + -600x + 85X + -15xX + (-1360x + 240x2) + 2xX * (-17 + 3x)) = 180
(3400 + -600x + 85X + -15xX + -1360x + 240x2 + (-17 * 2xX + 3x * 2xX)) = 180
(3400 + -600x + 85X + -15xX + -1360x + 240x2 + (-34xX + 6x2X)) = 180

Reorder the terms:
(3400 + 85X + -600x + -1360x + -15xX + -34xX + 240x2 + 6x2X) = 180

Combine like terms: -600x + -1360x = -1960x
(3400 + 85X + -1960x + -15xX + -34xX + 240x2 + 6x2X) = 180

Combine like terms: -15xX + -34xX = -49xX
(3400 + 85X + -1960x + -49xX + 240x2 + 6x2X) = 180

Solving
3400 + 85X + -1960x + -49xX + 240x2 + 6x2X = 180

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-3400' to each side of the equation.
3400 + 85X + -1960x + -49xX + 240x2 + -3400 + 6x2X = 180 + -3400

Reorder the terms:
3400 + -3400 + 85X + -1960x + -49xX + 240x2 + 6x2X = 180 + -3400

Combine like terms: 3400 + -3400 = 0
0 + 85X + -1960x + -49xX + 240x2 + 6x2X = 180 + -3400
85X + -1960x + -49xX + 240x2 + 6x2X = 180 + -3400

Combine like terms: 180 + -3400 = -3220
85X + -1960x + -49xX + 240x2 + 6x2X = -3220

Add '1960x' to each side of the equation.
85X + -1960x + -49xX + 240x2 + 1960x + 6x2X = -3220 + 1960x

Reorder the terms:
85X + -1960x + 1960x + -49xX + 240x2 + 6x2X = -3220 + 1960x

Combine like terms: -1960x + 1960x = 0
85X + 0 + -49xX + 240x2 + 6x2X = -3220 + 1960x
85X + -49xX + 240x2 + 6x2X = -3220 + 1960x

Add '-240x2' to each side of the equation.
85X + -49xX + 240x2 + -240x2 + 6x2X = -3220 + 1960x + -240x2

Combine like terms: 240x2 + -240x2 = 0
85X + -49xX + 0 + 6x2X = -3220 + 1960x + -240x2
85X + -49xX + 6x2X = -3220 + 1960x + -240x2

Reorder the terms:
3220 + 85X + -1960x + -49xX + 240x2 + 6x2X = -3220 + 1960x + -240x2 + 3220 + -1960x + 240x2

Reorder the terms:
3220 + 85X + -1960x + -49xX + 240x2 + 6x2X = -3220 + 3220 + 1960x + -1960x + -240x2 + 240x2

Combine like terms: -3220 + 3220 = 0
3220 + 85X + -1960x + -49xX + 240x2 + 6x2X = 0 + 1960x + -1960x + -240x2 + 240x2
3220 + 85X + -1960x + -49xX + 240x2 + 6x2X = 1960x + -1960x + -240x2 + 240x2

Combine like terms: 1960x + -1960x = 0
3220 + 85X + -1960x + -49xX + 240x2 + 6x2X = 0 + -240x2 + 240x2
3220 + 85X + -1960x + -49xX + 240x2 + 6x2X = -240x2 + 240x2

Combine like terms: -240x2 + 240x2 = 0
3220 + 85X + -1960x + -49xX + 240x2 + 6x2X = 0

The solution to this equation could not be determined.

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