(3y-2x-7)(7y+6)=0

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Solution for (3y-2x-7)(7y+6)=0 equation: 


Simplifying
(3y + -2x + -7)(7y + 6) = 0

Reorder the terms:
(-7 + -2x + 3y)(7y + 6) = 0

Reorder the terms:
(-7 + -2x + 3y)(6 + 7y) = 0

Multiply (-7 + -2x + 3y) * (6 + 7y)
(-7(6 + 7y) + -2x * (6 + 7y) + 3y * (6 + 7y)) = 0
((6 * -7 + 7y * -7) + -2x * (6 + 7y) + 3y * (6 + 7y)) = 0
((-42 + -49y) + -2x * (6 + 7y) + 3y * (6 + 7y)) = 0
(-42 + -49y + (6 * -2x + 7y * -2x) + 3y * (6 + 7y)) = 0
(-42 + -49y + (-12x + -14xy) + 3y * (6 + 7y)) = 0
(-42 + -49y + -12x + -14xy + (6 * 3y + 7y * 3y)) = 0
(-42 + -49y + -12x + -14xy + (18y + 21y2)) = 0

Reorder the terms:
(-42 + -12x + -14xy + -49y + 18y + 21y2) = 0

Combine like terms: -49y + 18y = -31y
(-42 + -12x + -14xy + -31y + 21y2) = 0

Solving
-42 + -12x + -14xy + -31y + 21y2 = 0

Solving for variable 'x'.

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

Add '42' to each side of the equation.
-42 + -12x + -14xy + -31y + 42 + 21y2 = 0 + 42

Reorder the terms:
-42 + 42 + -12x + -14xy + -31y + 21y2 = 0 + 42

Combine like terms: -42 + 42 = 0
0 + -12x + -14xy + -31y + 21y2 = 0 + 42
-12x + -14xy + -31y + 21y2 = 0 + 42

Combine like terms: 0 + 42 = 42
-12x + -14xy + -31y + 21y2 = 42

Add '31y' to each side of the equation.
-12x + -14xy + -31y + 31y + 21y2 = 42 + 31y

Combine like terms: -31y + 31y = 0
-12x + -14xy + 0 + 21y2 = 42 + 31y
-12x + -14xy + 21y2 = 42 + 31y

Add '-21y2' to each side of the equation.
-12x + -14xy + 21y2 + -21y2 = 42 + 31y + -21y2

Combine like terms: 21y2 + -21y2 = 0
-12x + -14xy + 0 = 42 + 31y + -21y2
-12x + -14xy = 42 + 31y + -21y2

Reorder the terms:
-42 + -12x + -14xy + -31y + 21y2 = 42 + 31y + -21y2 + -42 + -31y + 21y2

Reorder the terms:
-42 + -12x + -14xy + -31y + 21y2 = 42 + -42 + 31y + -31y + -21y2 + 21y2

Combine like terms: 42 + -42 = 0
-42 + -12x + -14xy + -31y + 21y2 = 0 + 31y + -31y + -21y2 + 21y2
-42 + -12x + -14xy + -31y + 21y2 = 31y + -31y + -21y2 + 21y2

Combine like terms: 31y + -31y = 0
-42 + -12x + -14xy + -31y + 21y2 = 0 + -21y2 + 21y2
-42 + -12x + -14xy + -31y + 21y2 = -21y2 + 21y2

Combine like terms: -21y2 + 21y2 = 0
-42 + -12x + -14xy + -31y + 21y2 = 0

The solution to this equation could not be determined.

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