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

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


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

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

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

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

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

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

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(61xy + 30x2 + 30y2) = 0

Factor a trinomial.
-1((6x + 5y)(5x + 6y)) = 0

Ignore the factor -1.

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 '(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
Solution
x = {-0.8333333333y, -1.2y}

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