(x-11y)(9x+12y)=

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Solution for (x-11y)(9x+12y)= equation: 


Simplifying
(x + -11y)(9x + 12y) = 0

Multiply (x + -11y) * (9x + 12y)
(x(9x + 12y) + -11y * (9x + 12y)) = 0
((9x * x + 12y * x) + -11y * (9x + 12y)) = 0

Reorder the terms:
((12xy + 9x2) + -11y * (9x + 12y)) = 0
((12xy + 9x2) + -11y * (9x + 12y)) = 0
(12xy + 9x2 + (9x * -11y + 12y * -11y)) = 0
(12xy + 9x2 + (-99xy + -132y2)) = 0

Reorder the terms:
(12xy + -99xy + 9x2 + -132y2) = 0

Combine like terms: 12xy + -99xy = -87xy
(-87xy + 9x2 + -132y2) = 0

Solving
-87xy + 9x2 + -132y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-29xy + 3x2 + -44y2) = 0

Factor a trinomial.
3((x + -11y)(3x + 4y)) = 0

Ignore the factor 3.

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

Simplifying
x + -11y = 0

Solving
x + -11y = 0

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

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

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

Simplifying
x = 11y

Subproblem 2
Set the factor '(3x + 4y)' equal to zero and attempt to solve:

Simplifying
3x + 4y = 0

Solving
3x + 4y = 0

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

Add '-4y' to each side of the equation.
3x + 4y + -4y = 0 + -4y

Combine like terms: 4y + -4y = 0
3x + 0 = 0 + -4y
3x = 0 + -4y
Remove the zero:
3x = -4y

Divide each side by '3'.
x = -1.333333333y

Simplifying
x = -1.333333333y
Solution
x = {11y, -1.333333333y}

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