(6x-11y)(5x-6y)=

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Solution for (6x-11y)(5x-6y)= equation: 


Simplifying
(6x + -11y)(5x + -6y) = 0

Multiply (6x + -11y) * (5x + -6y)
(6x * (5x + -6y) + -11y * (5x + -6y)) = 0
((5x * 6x + -6y * 6x) + -11y * (5x + -6y)) = 0

Reorder the terms:
((-36xy + 30x2) + -11y * (5x + -6y)) = 0
((-36xy + 30x2) + -11y * (5x + -6y)) = 0
(-36xy + 30x2 + (5x * -11y + -6y * -11y)) = 0
(-36xy + 30x2 + (-55xy + 66y2)) = 0

Reorder the terms:
(-36xy + -55xy + 30x2 + 66y2) = 0

Combine like terms: -36xy + -55xy = -91xy
(-91xy + 30x2 + 66y2) = 0

Solving
-91xy + 30x2 + 66y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(6x + -11y)(5x + -6y) = 0


Subproblem 1
Set the factor '(6x + -11y)' equal to zero and attempt to solve:

Simplifying
6x + -11y = 0

Solving
6x + -11y = 0

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

Add '11y' to each side of the equation.
6x + -11y + 11y = 0 + 11y

Combine like terms: -11y + 11y = 0
6x + 0 = 0 + 11y
6x = 0 + 11y
Remove the zero:
6x = 11y

Divide each side by '6'.
x = 1.833333333y

Simplifying
x = 1.833333333y

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 = {1.833333333y, 1.2y}

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