(8y-102)(3x)(2y+6)=180

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Solution for (8y-102)(3x)(2y+6)=180 equation: 


Simplifying
(8y + -102)(3x)(2y + 6) = 180

Reorder the terms:
(-102 + 8y)(3x)(2y + 6) = 180

Remove parenthesis around (3x)
(-102 + 8y) * 3x(2y + 6) = 180

Reorder the terms:
(-102 + 8y) * 3x(6 + 2y) = 180

Reorder the terms for easier multiplication:
3x(-102 + 8y)(6 + 2y) = 180

Multiply (-102 + 8y) * (6 + 2y)
3x(-102(6 + 2y) + 8y * (6 + 2y)) = 180
3x((6 * -102 + 2y * -102) + 8y * (6 + 2y)) = 180
3x((-612 + -204y) + 8y * (6 + 2y)) = 180
3x(-612 + -204y + (6 * 8y + 2y * 8y)) = 180
3x(-612 + -204y + (48y + 16y2)) = 180

Combine like terms: -204y + 48y = -156y
3x(-612 + -156y + 16y2) = 180
(-612 * 3x + -156y * 3x + 16y2 * 3x) = 180
(-1836x + -468xy + 48xy2) = 180

Solving
-1836x + -468xy + 48xy2 = 180

Solving for variable 'x'.

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

Reorder the terms:
-180 + -1836x + -468xy + 48xy2 = 180 + -180

Combine like terms: 180 + -180 = 0
-180 + -1836x + -468xy + 48xy2 = 0

Factor out the Greatest Common Factor (GCF), '12'.
12(-15 + -153x + -39xy + 4xy2) = 0

Ignore the factor 12.

Subproblem 1
Set the factor '(-15 + -153x + -39xy + 4xy2)' equal to zero and attempt to solve:

Simplifying
-15 + -153x + -39xy + 4xy2 = 0

Solving
-15 + -153x + -39xy + 4xy2 = 0

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

Add '15' to each side of the equation.
-15 + -153x + -39xy + 15 + 4xy2 = 0 + 15

Reorder the terms:
-15 + 15 + -153x + -39xy + 4xy2 = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -153x + -39xy + 4xy2 = 0 + 15
-153x + -39xy + 4xy2 = 0 + 15

Combine like terms: 0 + 15 = 15
-153x + -39xy + 4xy2 = 15

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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