(5x-3y)(11x+4y)=

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Solution for (5x-3y)(11x+4y)= equation: 


Simplifying
(5x + -3y)(11x + 4y) = 0

Multiply (5x + -3y) * (11x + 4y)
(5x * (11x + 4y) + -3y * (11x + 4y)) = 0
((11x * 5x + 4y * 5x) + -3y * (11x + 4y)) = 0

Reorder the terms:
((20xy + 55x2) + -3y * (11x + 4y)) = 0
((20xy + 55x2) + -3y * (11x + 4y)) = 0
(20xy + 55x2 + (11x * -3y + 4y * -3y)) = 0
(20xy + 55x2 + (-33xy + -12y2)) = 0

Reorder the terms:
(20xy + -33xy + 55x2 + -12y2) = 0

Combine like terms: 20xy + -33xy = -13xy
(-13xy + 55x2 + -12y2) = 0

Solving
-13xy + 55x2 + -12y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5x + -3y)(11x + 4y) = 0


Subproblem 1
Set the factor '(5x + -3y)' equal to zero and attempt to solve:

Simplifying
5x + -3y = 0

Solving
5x + -3y = 0

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

Add '3y' to each side of the equation.
5x + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
5x + 0 = 0 + 3y
5x = 0 + 3y
Remove the zero:
5x = 3y

Divide each side by '5'.
x = 0.6y

Simplifying
x = 0.6y

Subproblem 2
Set the factor '(11x + 4y)' equal to zero and attempt to solve:

Simplifying
11x + 4y = 0

Solving
11x + 4y = 0

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

Add '-4y' to each side of the equation.
11x + 4y + -4y = 0 + -4y

Combine like terms: 4y + -4y = 0
11x + 0 = 0 + -4y
11x = 0 + -4y
Remove the zero:
11x = -4y

Divide each side by '11'.
x = -0.3636363636y

Simplifying
x = -0.3636363636y
Solution
x = {0.6y, -0.3636363636y}

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