(x-3y)(3x+11y)=

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Solution for (x-3y)(3x+11y)= equation: 


Simplifying
(x + -3y)(3x + 11y) = 0

Multiply (x + -3y) * (3x + 11y)
(x(3x + 11y) + -3y * (3x + 11y)) = 0
((3x * x + 11y * x) + -3y * (3x + 11y)) = 0

Reorder the terms:
((11xy + 3x2) + -3y * (3x + 11y)) = 0
((11xy + 3x2) + -3y * (3x + 11y)) = 0
(11xy + 3x2 + (3x * -3y + 11y * -3y)) = 0
(11xy + 3x2 + (-9xy + -33y2)) = 0

Reorder the terms:
(11xy + -9xy + 3x2 + -33y2) = 0

Combine like terms: 11xy + -9xy = 2xy
(2xy + 3x2 + -33y2) = 0

Solving
2xy + 3x2 + -33y2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(x + -3y)' equal to zero and attempt to solve:

Simplifying
x + -3y = 0

Solving
x + -3y = 0

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

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

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

Simplifying
x = 3y

Subproblem 2
Set the factor '(3x + 11y)' equal to zero and attempt to solve:

Simplifying
3x + 11y = 0

Solving
3x + 11y = 0

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

Add '-11y' to each side of the equation.
3x + 11y + -11y = 0 + -11y

Combine like terms: 11y + -11y = 0
3x + 0 = 0 + -11y
3x = 0 + -11y
Remove the zero:
3x = -11y

Divide each side by '3'.
x = -3.666666667y

Simplifying
x = -3.666666667y
Solution
x = {3y, -3.666666667y}

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