10(x+6)y^2+72(x+6)y-64(x+6)=

Solution for 10(x+6)y^2+72(x+6)y-64(x+6)= equation:

Simplifying
10(x + 6) * y2 + 72(x + 6) * y + -64(x + 6) = 0

Reorder the terms:
10(6 + x) * y2 + 72(x + 6) * y + -64(x + 6) = 0

Reorder the terms for easier multiplication:
10y2(6 + x) + 72(x + 6) * y + -64(x + 6) = 0
(6 * 10y2 + x * 10y2) + 72(x + 6) * y + -64(x + 6) = 0

Reorder the terms:
(10xy2 + 60y2) + 72(x + 6) * y + -64(x + 6) = 0
(10xy2 + 60y2) + 72(x + 6) * y + -64(x + 6) = 0

Reorder the terms:
10xy2 + 60y2 + 72(6 + x) * y + -64(x + 6) = 0

Reorder the terms for easier multiplication:
10xy2 + 60y2 + 72y(6 + x) + -64(x + 6) = 0
10xy2 + 60y2 + (6 * 72y + x * 72y) + -64(x + 6) = 0

Reorder the terms:
10xy2 + 60y2 + (72xy + 432y) + -64(x + 6) = 0
10xy2 + 60y2 + (72xy + 432y) + -64(x + 6) = 0

Reorder the terms:
10xy2 + 60y2 + 72xy + 432y + -64(6 + x) = 0
10xy2 + 60y2 + 72xy + 432y + (6 * -64 + x * -64) = 0
10xy2 + 60y2 + 72xy + 432y + (-384 + -64x) = 0

Reorder the terms:
-384 + -64x + 72xy + 10xy2 + 432y + 60y2 = 0

Solving
-384 + -64x + 72xy + 10xy2 + 432y + 60y2 = 0

Solving for variable 'x'.

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

Add '384' to each side of the equation.
-384 + -64x + 72xy + 10xy2 + 432y + 384 + 60y2 = 0 + 384

Reorder the terms:
-384 + 384 + -64x + 72xy + 10xy2 + 432y + 60y2 = 0 + 384

Combine like terms: -384 + 384 = 0
0 + -64x + 72xy + 10xy2 + 432y + 60y2 = 0 + 384
-64x + 72xy + 10xy2 + 432y + 60y2 = 0 + 384

Combine like terms: 0 + 384 = 384
-64x + 72xy + 10xy2 + 432y + 60y2 = 384

Add '-432y' to each side of the equation.
-64x + 72xy + 10xy2 + 432y + -432y + 60y2 = 384 + -432y

Combine like terms: 432y + -432y = 0
-64x + 72xy + 10xy2 + 0 + 60y2 = 384 + -432y
-64x + 72xy + 10xy2 + 60y2 = 384 + -432y

Add '-60y2' to each side of the equation.
-64x + 72xy + 10xy2 + 60y2 + -60y2 = 384 + -432y + -60y2

Combine like terms: 60y2 + -60y2 = 0
-64x + 72xy + 10xy2 + 0 = 384 + -432y + -60y2
-64x + 72xy + 10xy2 = 384 + -432y + -60y2

Reorder the terms:
-384 + -64x + 72xy + 10xy2 + 432y + 60y2 = 384 + -432y + -60y2 + -384 + 432y + 60y2

Reorder the terms:
-384 + -64x + 72xy + 10xy2 + 432y + 60y2 = 384 + -384 + -432y + 432y + -60y2 + 60y2

Combine like terms: 384 + -384 = 0
-384 + -64x + 72xy + 10xy2 + 432y + 60y2 = 0 + -432y + 432y + -60y2 + 60y2
-384 + -64x + 72xy + 10xy2 + 432y + 60y2 = -432y + 432y + -60y2 + 60y2

Combine like terms: -432y + 432y = 0
-384 + -64x + 72xy + 10xy2 + 432y + 60y2 = 0 + -60y2 + 60y2
-384 + -64x + 72xy + 10xy2 + 432y + 60y2 = -60y2 + 60y2

Combine like terms: -60y2 + 60y2 = 0
-384 + -64x + 72xy + 10xy2 + 432y + 60y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-192 + -32x + 36xy + 5xy2 + 216y + 30y2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-192 + -32x + 36xy + 5xy2 + 216y + 30y2)' equal to zero and attempt to solve:

Simplifying
-192 + -32x + 36xy + 5xy2 + 216y + 30y2 = 0

Solving
-192 + -32x + 36xy + 5xy2 + 216y + 30y2 = 0

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

Add '192' to each side of the equation.
-192 + -32x + 36xy + 5xy2 + 216y + 192 + 30y2 = 0 + 192

Reorder the terms:
-192 + 192 + -32x + 36xy + 5xy2 + 216y + 30y2 = 0 + 192

Combine like terms: -192 + 192 = 0
0 + -32x + 36xy + 5xy2 + 216y + 30y2 = 0 + 192
-32x + 36xy + 5xy2 + 216y + 30y2 = 0 + 192

Combine like terms: 0 + 192 = 192
-32x + 36xy + 5xy2 + 216y + 30y2 = 192

Add '-216y' to each side of the equation.
-32x + 36xy + 5xy2 + 216y + -216y + 30y2 = 192 + -216y

Combine like terms: 216y + -216y = 0
-32x + 36xy + 5xy2 + 0 + 30y2 = 192 + -216y
-32x + 36xy + 5xy2 + 30y2 = 192 + -216y

Add '-30y2' to each side of the equation.
-32x + 36xy + 5xy2 + 30y2 + -30y2 = 192 + -216y + -30y2

Combine like terms: 30y2 + -30y2 = 0
-32x + 36xy + 5xy2 + 0 = 192 + -216y + -30y2
-32x + 36xy + 5xy2 = 192 + -216y + -30y2

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.