(6x-5y)(6x-5y)=

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Solution for (6x-5y)(6x-5y)= equation: 


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

Multiply (6x + -5y) * (6x + -5y)
(6x * (6x + -5y) + -5y * (6x + -5y)) = 0
((6x * 6x + -5y * 6x) + -5y * (6x + -5y)) = 0

Reorder the terms:
((-30xy + 36x2) + -5y * (6x + -5y)) = 0
((-30xy + 36x2) + -5y * (6x + -5y)) = 0
(-30xy + 36x2 + (6x * -5y + -5y * -5y)) = 0
(-30xy + 36x2 + (-30xy + 25y2)) = 0

Reorder the terms:
(-30xy + -30xy + 36x2 + 25y2) = 0

Combine like terms: -30xy + -30xy = -60xy
(-60xy + 36x2 + 25y2) = 0

Solving
-60xy + 36x2 + 25y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(6x + -5y)(6x + -5y) = 0


Subproblem 1
Set the factor '(6x + -5y)' equal to zero and attempt to solve:

Simplifying
6x + -5y = 0

Solving
6x + -5y = 0

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

Add '5y' to each side of the equation.
6x + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
6x + 0 = 0 + 5y
6x = 0 + 5y
Remove the zero:
6x = 5y

Divide each side by '6'.
x = 0.8333333333y

Simplifying
x = 0.8333333333y

Subproblem 2
Set the factor '(6x + -5y)' equal to zero and attempt to solve:

Simplifying
6x + -5y = 0

Solving
6x + -5y = 0

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

Add '5y' to each side of the equation.
6x + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
6x + 0 = 0 + 5y
6x = 0 + 5y
Remove the zero:
6x = 5y

Divide each side by '6'.
x = 0.8333333333y

Simplifying
x = 0.8333333333y
Solution
x = {0.8333333333y, 0.8333333333y}

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