(-5xy-11)(5xy+11)=

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Solution for (-5xy-11)(5xy+11)= equation: 


Simplifying
(-5xy + -11)(5xy + 11) = 0

Reorder the terms:
(-11 + -5xy)(5xy + 11) = 0

Reorder the terms:
(-11 + -5xy)(11 + 5xy) = 0

Multiply (-11 + -5xy) * (11 + 5xy)
(-11(11 + 5xy) + -5xy * (11 + 5xy)) = 0
((11 * -11 + 5xy * -11) + -5xy * (11 + 5xy)) = 0
((-121 + -55xy) + -5xy * (11 + 5xy)) = 0
(-121 + -55xy + (11 * -5xy + 5xy * -5xy)) = 0
(-121 + -55xy + (-55xy + -25x2y2)) = 0

Combine like terms: -55xy + -55xy = -110xy
(-121 + -110xy + -25x2y2) = 0

Solving
-121 + -110xy + -25x2y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(121 + 110xy + 25x2y2) = 0

Factor a trinomial.
-1((11 + 5xy)(11 + 5xy)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(11 + 5xy)' equal to zero and attempt to solve:

Simplifying
11 + 5xy = 0

Solving
11 + 5xy = 0

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

Add '-11' to each side of the equation.
11 + -11 + 5xy = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 5xy = 0 + -11
5xy = 0 + -11

Combine like terms: 0 + -11 = -11
5xy = -11

Divide each side by '5y'.
x = -2.2y-1

Simplifying
x = -2.2y-1

Subproblem 2
Set the factor '(11 + 5xy)' equal to zero and attempt to solve:

Simplifying
11 + 5xy = 0

Solving
11 + 5xy = 0

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

Add '-11' to each side of the equation.
11 + -11 + 5xy = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 5xy = 0 + -11
5xy = 0 + -11

Combine like terms: 0 + -11 = -11
5xy = -11

Divide each side by '5y'.
x = -2.2y-1

Simplifying
x = -2.2y-1
Solution
x = {-2.2y-1, -2.2y-1}

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