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

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


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

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

Reorder the terms:
((-42xy + 36x2) + -7y * (6x + -7y)) = 0
((-42xy + 36x2) + -7y * (6x + -7y)) = 0
(-42xy + 36x2 + (6x * -7y + -7y * -7y)) = 0
(-42xy + 36x2 + (-42xy + 49y2)) = 0

Reorder the terms:
(-42xy + -42xy + 36x2 + 49y2) = 0

Combine like terms: -42xy + -42xy = -84xy
(-84xy + 36x2 + 49y2) = 0

Solving
-84xy + 36x2 + 49y2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

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 = {1.166666667y, 1.166666667y}

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