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

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


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

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

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

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

Combine like terms: -25xy + -36xy = -61xy
(-61xy + 30x2 + 30y2) = 0

Solving
-61xy + 30x2 + 30y2 = 0

Solving for variable 'x'.

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


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

Simplifying
5x + -6y = 0

Solving
5x + -6y = 0

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

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

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

Divide each side by '5'.
x = 1.2y

Simplifying
x = 1.2y

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 = {1.2y, 0.8333333333y}

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