(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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