(x+8y)(x+11y)=

Solution for (x+8y)(x+11y)= equation:

Simplifying
(x + 8y)(x + 11y) = 0

Multiply (x + 8y) * (x + 11y)
(x(x + 11y) + 8y * (x + 11y)) = 0
((x * x + 11y * x) + 8y * (x + 11y)) = 0

Reorder the terms:
((11xy + x2) + 8y * (x + 11y)) = 0
((11xy + x2) + 8y * (x + 11y)) = 0
(11xy + x2 + (x * 8y + 11y * 8y)) = 0
(11xy + x2 + (8xy + 88y2)) = 0

Reorder the terms:
(11xy + 8xy + x2 + 88y2) = 0

Combine like terms: 11xy + 8xy = 19xy
(19xy + x2 + 88y2) = 0

Solving
19xy + x2 + 88y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(x + 8y)(x + 11y) = 0

Subproblem 1
Set the factor '(x + 8y)' equal to zero and attempt to solve:

Simplifying
x + 8y = 0

Solving
x + 8y = 0

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

Add '-8y' to each side of the equation.
x + 8y + -8y = 0 + -8y

Combine like terms: 8y + -8y = 0
x + 0 = 0 + -8y
x = 0 + -8y
Remove the zero:
x = -8y

Simplifying
x = -8y
Subproblem 2
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
Solution
x = {-8y, -11y}