(6x+1)(5x-17)(9x-24)=180

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Solution for (6x+1)(5x-17)(9x-24)=180 equation: 


Simplifying
(6x + 1)(5x + -17)(9x + -24) = 180

Reorder the terms:
(1 + 6x)(5x + -17)(9x + -24) = 180

Reorder the terms:
(1 + 6x)(-17 + 5x)(9x + -24) = 180

Reorder the terms:
(1 + 6x)(-17 + 5x)(-24 + 9x) = 180

Multiply (1 + 6x) * (-17 + 5x)
(1(-17 + 5x) + 6x * (-17 + 5x))(-24 + 9x) = 180
((-17 * 1 + 5x * 1) + 6x * (-17 + 5x))(-24 + 9x) = 180
((-17 + 5x) + 6x * (-17 + 5x))(-24 + 9x) = 180
(-17 + 5x + (-17 * 6x + 5x * 6x))(-24 + 9x) = 180
(-17 + 5x + (-102x + 30x2))(-24 + 9x) = 180

Combine like terms: 5x + -102x = -97x
(-17 + -97x + 30x2)(-24 + 9x) = 180

Multiply (-17 + -97x + 30x2) * (-24 + 9x)
(-17(-24 + 9x) + -97x * (-24 + 9x) + 30x2 * (-24 + 9x)) = 180
((-24 * -17 + 9x * -17) + -97x * (-24 + 9x) + 30x2 * (-24 + 9x)) = 180
((408 + -153x) + -97x * (-24 + 9x) + 30x2 * (-24 + 9x)) = 180
(408 + -153x + (-24 * -97x + 9x * -97x) + 30x2 * (-24 + 9x)) = 180
(408 + -153x + (2328x + -873x2) + 30x2 * (-24 + 9x)) = 180
(408 + -153x + 2328x + -873x2 + (-24 * 30x2 + 9x * 30x2)) = 180
(408 + -153x + 2328x + -873x2 + (-720x2 + 270x3)) = 180

Combine like terms: -153x + 2328x = 2175x
(408 + 2175x + -873x2 + -720x2 + 270x3) = 180

Combine like terms: -873x2 + -720x2 = -1593x2
(408 + 2175x + -1593x2 + 270x3) = 180

Solving
408 + 2175x + -1593x2 + 270x3 = 180

Solving for variable 'x'.

Reorder the terms:
408 + -180 + 2175x + -1593x2 + 270x3 = 180 + -180

Combine like terms: 408 + -180 = 228
228 + 2175x + -1593x2 + 270x3 = 180 + -180

Combine like terms: 180 + -180 = 0
228 + 2175x + -1593x2 + 270x3 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(76 + 725x + -531x2 + 90x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(76 + 725x + -531x2 + 90x3)' equal to zero and attempt to solve:

Simplifying
76 + 725x + -531x2 + 90x3 = 0

Solving
76 + 725x + -531x2 + 90x3 = 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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