(X-5Y)(X+11Y)=

Solution for (X-5Y)(X+11Y)= equation:

Simplifying
(X + -5Y)(X + 11Y) = 0

Multiply (X + -5Y) * (X + 11Y)
(X(X + 11Y) + -5Y * (X + 11Y)) = 0
((X * X + 11Y * X) + -5Y * (X + 11Y)) = 0

Reorder the terms:
((11XY + X2) + -5Y * (X + 11Y)) = 0
((11XY + X2) + -5Y * (X + 11Y)) = 0
(11XY + X2 + (X * -5Y + 11Y * -5Y)) = 0
(11XY + X2 + (-5XY + -55Y2)) = 0

Reorder the terms:
(11XY + -5XY + X2 + -55Y2) = 0

Combine like terms: 11XY + -5XY = 6XY
(6XY + X2 + -55Y2) = 0

Solving
6XY + X2 + -55Y2 = 0

Solving for variable 'X'.

Factor a trinomial.
(X + -5Y)(X + 11Y) = 0

Subproblem 1
Set the factor '(X + -5Y)' equal to zero and attempt to solve:

Simplifying
X + -5Y = 0

Solving
X + -5Y = 0

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

Add '5Y' to each side of the equation.
X + -5Y + 5Y = 0 + 5Y

Combine like terms: -5Y + 5Y = 0
X + 0 = 0 + 5Y
X = 0 + 5Y
Remove the zero:
X = 5Y

Simplifying
X = 5Y
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 = {5Y, -11Y}