(3x-4)(6y+8)=

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Solution for (3x-4)(6y+8)= equation:


Simplifying
(3x + -4)(6y + 8) = 0

Reorder the terms:
(-4 + 3x)(6y + 8) = 0

Reorder the terms:
(-4 + 3x)(8 + 6y) = 0

Multiply (-4 + 3x) * (8 + 6y)
(-4(8 + 6y) + 3x * (8 + 6y)) = 0
((8 * -4 + 6y * -4) + 3x * (8 + 6y)) = 0
((-32 + -24y) + 3x * (8 + 6y)) = 0
(-32 + -24y + (8 * 3x + 6y * 3x)) = 0
(-32 + -24y + (24x + 18xy)) = 0

Reorder the terms:
(-32 + 24x + 18xy + -24y) = 0
(-32 + 24x + 18xy + -24y) = 0

Solving
-32 + 24x + 18xy + -24y = 0

Solving for variable 'x'.

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

Add '32' to each side of the equation.
-32 + 24x + 18xy + 32 + -24y = 0 + 32

Reorder the terms:
-32 + 32 + 24x + 18xy + -24y = 0 + 32

Combine like terms: -32 + 32 = 0
0 + 24x + 18xy + -24y = 0 + 32
24x + 18xy + -24y = 0 + 32

Combine like terms: 0 + 32 = 32
24x + 18xy + -24y = 32

Add '24y' to each side of the equation.
24x + 18xy + -24y + 24y = 32 + 24y

Combine like terms: -24y + 24y = 0
24x + 18xy + 0 = 32 + 24y
24x + 18xy = 32 + 24y

Reorder the terms:
-32 + 24x + 18xy + -24y = 32 + 24y + -32 + -24y

Reorder the terms:
-32 + 24x + 18xy + -24y = 32 + -32 + 24y + -24y

Combine like terms: 32 + -32 = 0
-32 + 24x + 18xy + -24y = 0 + 24y + -24y
-32 + 24x + 18xy + -24y = 24y + -24y

Combine like terms: 24y + -24y = 0
-32 + 24x + 18xy + -24y = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-16 + 12x + 9xy + -12y) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-16 + 12x + 9xy + -12y)' equal to zero and attempt to solve: Simplifying -16 + 12x + 9xy + -12y = 0 Solving -16 + 12x + 9xy + -12y = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 12x + 9xy + 16 + -12y = 0 + 16 Reorder the terms: -16 + 16 + 12x + 9xy + -12y = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 12x + 9xy + -12y = 0 + 16 12x + 9xy + -12y = 0 + 16 Combine like terms: 0 + 16 = 16 12x + 9xy + -12y = 16 Add '12y' to each side of the equation. 12x + 9xy + -12y + 12y = 16 + 12y Combine like terms: -12y + 12y = 0 12x + 9xy + 0 = 16 + 12y 12x + 9xy = 16 + 12y 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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