(4x+6y+8)(4x+6y-8)=

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Solution for (4x+6y+8)(4x+6y-8)= equation: 


Simplifying
(4x + 6y + 8)(4x + 6y + -8) = 0

Reorder the terms:
(8 + 4x + 6y)(4x + 6y + -8) = 0

Reorder the terms:
(8 + 4x + 6y)(-8 + 4x + 6y) = 0

Multiply (8 + 4x + 6y) * (-8 + 4x + 6y)
(8(-8 + 4x + 6y) + 4x * (-8 + 4x + 6y) + 6y * (-8 + 4x + 6y)) = 0
((-8 * 8 + 4x * 8 + 6y * 8) + 4x * (-8 + 4x + 6y) + 6y * (-8 + 4x + 6y)) = 0
((-64 + 32x + 48y) + 4x * (-8 + 4x + 6y) + 6y * (-8 + 4x + 6y)) = 0
(-64 + 32x + 48y + (-8 * 4x + 4x * 4x + 6y * 4x) + 6y * (-8 + 4x + 6y)) = 0

Reorder the terms:
(-64 + 32x + 48y + (-32x + 24xy + 16x2) + 6y * (-8 + 4x + 6y)) = 0
(-64 + 32x + 48y + (-32x + 24xy + 16x2) + 6y * (-8 + 4x + 6y)) = 0
(-64 + 32x + 48y + -32x + 24xy + 16x2 + (-8 * 6y + 4x * 6y + 6y * 6y)) = 0

Reorder the terms:
(-64 + 32x + 48y + -32x + 24xy + 16x2 + (24xy + -48y + 36y2)) = 0
(-64 + 32x + 48y + -32x + 24xy + 16x2 + (24xy + -48y + 36y2)) = 0

Reorder the terms:
(-64 + 32x + -32x + 24xy + 24xy + 16x2 + 48y + -48y + 36y2) = 0

Combine like terms: 32x + -32x = 0
(-64 + 0 + 24xy + 24xy + 16x2 + 48y + -48y + 36y2) = 0
(-64 + 24xy + 24xy + 16x2 + 48y + -48y + 36y2) = 0

Combine like terms: 24xy + 24xy = 48xy
(-64 + 48xy + 16x2 + 48y + -48y + 36y2) = 0

Combine like terms: 48y + -48y = 0
(-64 + 48xy + 16x2 + 0 + 36y2) = 0
(-64 + 48xy + 16x2 + 36y2) = 0

Solving
-64 + 48xy + 16x2 + 36y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-16 + 12xy + 4x2 + 9y2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-16 + 12xy + 4x2 + 9y2)' equal to zero and attempt to solve:

Simplifying
-16 + 12xy + 4x2 + 9y2 = 0

Solving
-16 + 12xy + 4x2 + 9y2 = 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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