2x+3y(4x-12)=-8

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Solution for 2x+3y(4x-12)=-8 equation: 


Simplifying
2x + 3y(4x + -12) = -8

Reorder the terms:
2x + 3y(-12 + 4x) = -8
2x + (-12 * 3y + 4x * 3y) = -8

Reorder the terms:
2x + (12xy + -36y) = -8
2x + (12xy + -36y) = -8

Solving
2x + 12xy + -36y = -8

Solving for variable 'x'.

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

Add '36y' to each side of the equation.
2x + 12xy + -36y + 36y = -8 + 36y

Combine like terms: -36y + 36y = 0
2x + 12xy + 0 = -8 + 36y
2x + 12xy = -8 + 36y

Reorder the terms:
8 + 2x + 12xy + -36y = -8 + 36y + 8 + -36y

Reorder the terms:
8 + 2x + 12xy + -36y = -8 + 8 + 36y + -36y

Combine like terms: -8 + 8 = 0
8 + 2x + 12xy + -36y = 0 + 36y + -36y
8 + 2x + 12xy + -36y = 36y + -36y

Combine like terms: 36y + -36y = 0
8 + 2x + 12xy + -36y = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + x + 6xy + -18y) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + x + 6xy + -18y)' equal to zero and attempt to solve:

Simplifying
4 + x + 6xy + -18y = 0

Solving
4 + x + 6xy + -18y = 0

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

Add '-4' to each side of the equation.
4 + x + 6xy + -4 + -18y = 0 + -4

Reorder the terms:
4 + -4 + x + 6xy + -18y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x + 6xy + -18y = 0 + -4
x + 6xy + -18y = 0 + -4

Combine like terms: 0 + -4 = -4
x + 6xy + -18y = -4

Add '18y' to each side of the equation.
x + 6xy + -18y + 18y = -4 + 18y

Combine like terms: -18y + 18y = 0
x + 6xy + 0 = -4 + 18y
x + 6xy = -4 + 18y

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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