(6x-5)(12y+14)=0

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Solution for (6x-5)(12y+14)=0 equation:


Simplifying
(6x + -5)(12y + 14) = 0

Reorder the terms:
(-5 + 6x)(12y + 14) = 0

Reorder the terms:
(-5 + 6x)(14 + 12y) = 0

Multiply (-5 + 6x) * (14 + 12y)
(-5(14 + 12y) + 6x * (14 + 12y)) = 0
((14 * -5 + 12y * -5) + 6x * (14 + 12y)) = 0
((-70 + -60y) + 6x * (14 + 12y)) = 0
(-70 + -60y + (14 * 6x + 12y * 6x)) = 0
(-70 + -60y + (84x + 72xy)) = 0

Reorder the terms:
(-70 + 84x + 72xy + -60y) = 0
(-70 + 84x + 72xy + -60y) = 0

Solving
-70 + 84x + 72xy + -60y = 0

Solving for variable 'x'.

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

Add '70' to each side of the equation.
-70 + 84x + 72xy + 70 + -60y = 0 + 70

Reorder the terms:
-70 + 70 + 84x + 72xy + -60y = 0 + 70

Combine like terms: -70 + 70 = 0
0 + 84x + 72xy + -60y = 0 + 70
84x + 72xy + -60y = 0 + 70

Combine like terms: 0 + 70 = 70
84x + 72xy + -60y = 70

Add '60y' to each side of the equation.
84x + 72xy + -60y + 60y = 70 + 60y

Combine like terms: -60y + 60y = 0
84x + 72xy + 0 = 70 + 60y
84x + 72xy = 70 + 60y

Reorder the terms:
-70 + 84x + 72xy + -60y = 70 + 60y + -70 + -60y

Reorder the terms:
-70 + 84x + 72xy + -60y = 70 + -70 + 60y + -60y

Combine like terms: 70 + -70 = 0
-70 + 84x + 72xy + -60y = 0 + 60y + -60y
-70 + 84x + 72xy + -60y = 60y + -60y

Combine like terms: 60y + -60y = 0
-70 + 84x + 72xy + -60y = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-35 + 42x + 36xy + -30y) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-35 + 42x + 36xy + -30y)' equal to zero and attempt to solve: Simplifying -35 + 42x + 36xy + -30y = 0 Solving -35 + 42x + 36xy + -30y = 0 Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 42x + 36xy + 35 + -30y = 0 + 35 Reorder the terms: -35 + 35 + 42x + 36xy + -30y = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 42x + 36xy + -30y = 0 + 35 42x + 36xy + -30y = 0 + 35 Combine like terms: 0 + 35 = 35 42x + 36xy + -30y = 35 Add '30y' to each side of the equation. 42x + 36xy + -30y + 30y = 35 + 30y Combine like terms: -30y + 30y = 0 42x + 36xy + 0 = 35 + 30y 42x + 36xy = 35 + 30y 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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