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

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


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

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

Reorder the terms:
8x + (12xy + 32y) = 12
8x + (12xy + 32y) = 12

Solving
8x + 12xy + 32y = 12

Solving for variable 'x'.

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

Add '-32y' to each side of the equation.
8x + 12xy + 32y + -32y = 12 + -32y

Combine like terms: 32y + -32y = 0
8x + 12xy + 0 = 12 + -32y
8x + 12xy = 12 + -32y

Reorder the terms:
-12 + 8x + 12xy + 32y = 12 + -32y + -12 + 32y

Reorder the terms:
-12 + 8x + 12xy + 32y = 12 + -12 + -32y + 32y

Combine like terms: 12 + -12 = 0
-12 + 8x + 12xy + 32y = 0 + -32y + 32y
-12 + 8x + 12xy + 32y = -32y + 32y

Combine like terms: -32y + 32y = 0
-12 + 8x + 12xy + 32y = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-3 + 2x + 3xy + 8y) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-3 + 2x + 3xy + 8y)' equal to zero and attempt to solve:

Simplifying
-3 + 2x + 3xy + 8y = 0

Solving
-3 + 2x + 3xy + 8y = 0

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

Add '3' to each side of the equation.
-3 + 2x + 3xy + 3 + 8y = 0 + 3

Reorder the terms:
-3 + 3 + 2x + 3xy + 8y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2x + 3xy + 8y = 0 + 3
2x + 3xy + 8y = 0 + 3

Combine like terms: 0 + 3 = 3
2x + 3xy + 8y = 3

Add '-8y' to each side of the equation.
2x + 3xy + 8y + -8y = 3 + -8y

Combine like terms: 8y + -8y = 0
2x + 3xy + 0 = 3 + -8y
2x + 3xy = 3 + -8y

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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