(10x)(5x-17)(7x-1)=180

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Solution for (10x)(5x-17)(7x-1)=180 equation:


Simplifying
(10x)(5x + -17)(7x + -1) = 180

Remove parenthesis around (10x)
10x(5x + -17)(7x + -1) = 180

Reorder the terms:
10x(-17 + 5x)(7x + -1) = 180

Reorder the terms:
10x(-17 + 5x)(-1 + 7x) = 180

Multiply (-17 + 5x) * (-1 + 7x)
10x(-17(-1 + 7x) + 5x * (-1 + 7x)) = 180
10x((-1 * -17 + 7x * -17) + 5x * (-1 + 7x)) = 180
10x((17 + -119x) + 5x * (-1 + 7x)) = 180
10x(17 + -119x + (-1 * 5x + 7x * 5x)) = 180
10x(17 + -119x + (-5x + 35x2)) = 180

Combine like terms: -119x + -5x = -124x
10x(17 + -124x + 35x2) = 180
(17 * 10x + -124x * 10x + 35x2 * 10x) = 180
(170x + -1240x2 + 350x3) = 180

Solving
170x + -1240x2 + 350x3 = 180

Solving for variable 'x'.

Reorder the terms:
-180 + 170x + -1240x2 + 350x3 = 180 + -180

Combine like terms: 180 + -180 = 0
-180 + 170x + -1240x2 + 350x3 = 0

Factor out the Greatest Common Factor (GCF), '10'.
10(-18 + 17x + -124x2 + 35x3) = 0

Ignore the factor 10.

Subproblem 1

Set the factor '(-18 + 17x + -124x2 + 35x3)' equal to zero and attempt to solve: Simplifying -18 + 17x + -124x2 + 35x3 = 0 Solving -18 + 17x + -124x2 + 35x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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