(6x-7y)(7y-8x)=

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Solution for (6x-7y)(7y-8x)= equation: 


Simplifying
(6x + -7y)(7y + -8x) = 0

Reorder the terms:
(6x + -7y)(-8x + 7y) = 0

Multiply (6x + -7y) * (-8x + 7y)
(6x * (-8x + 7y) + -7y * (-8x + 7y)) = 0
((-8x * 6x + 7y * 6x) + -7y * (-8x + 7y)) = 0

Reorder the terms:
((42xy + -48x2) + -7y * (-8x + 7y)) = 0
((42xy + -48x2) + -7y * (-8x + 7y)) = 0
(42xy + -48x2 + (-8x * -7y + 7y * -7y)) = 0
(42xy + -48x2 + (56xy + -49y2)) = 0

Reorder the terms:
(42xy + 56xy + -48x2 + -49y2) = 0

Combine like terms: 42xy + 56xy = 98xy
(98xy + -48x2 + -49y2) = 0

Solving
98xy + -48x2 + -49y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8x + 7y)(6x + -7y) = 0


Subproblem 1
Set the factor '(-8x + 7y)' equal to zero and attempt to solve:

Simplifying
-8x + 7y = 0

Solving
-8x + 7y = 0

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

Add '-7y' to each side of the equation.
-8x + 7y + -7y = 0 + -7y

Combine like terms: 7y + -7y = 0
-8x + 0 = 0 + -7y
-8x = 0 + -7y
Remove the zero:
-8x = -7y

Divide each side by '-8'.
x = 0.875y

Simplifying
x = 0.875y

Subproblem 2
Set the factor '(6x + -7y)' equal to zero and attempt to solve:

Simplifying
6x + -7y = 0

Solving
6x + -7y = 0

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

Add '7y' to each side of the equation.
6x + -7y + 7y = 0 + 7y

Combine like terms: -7y + 7y = 0
6x + 0 = 0 + 7y
6x = 0 + 7y
Remove the zero:
6x = 7y

Divide each side by '6'.
x = 1.166666667y

Simplifying
x = 1.166666667y
Solution
x = {0.875y, 1.166666667y}

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