(4x-9y)(3x+11y)=0

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Solution for (4x-9y)(3x+11y)=0 equation: 


Simplifying
(4x + -9y)(3x + 11y) = 0

Multiply (4x + -9y) * (3x + 11y)
(4x * (3x + 11y) + -9y * (3x + 11y)) = 0
((3x * 4x + 11y * 4x) + -9y * (3x + 11y)) = 0

Reorder the terms:
((44xy + 12x2) + -9y * (3x + 11y)) = 0
((44xy + 12x2) + -9y * (3x + 11y)) = 0
(44xy + 12x2 + (3x * -9y + 11y * -9y)) = 0
(44xy + 12x2 + (-27xy + -99y2)) = 0

Reorder the terms:
(44xy + -27xy + 12x2 + -99y2) = 0

Combine like terms: 44xy + -27xy = 17xy
(17xy + 12x2 + -99y2) = 0

Solving
17xy + 12x2 + -99y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4x + -9y)(3x + 11y) = 0


Subproblem 1
Set the factor '(4x + -9y)' equal to zero and attempt to solve:

Simplifying
4x + -9y = 0

Solving
4x + -9y = 0

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

Add '9y' to each side of the equation.
4x + -9y + 9y = 0 + 9y

Combine like terms: -9y + 9y = 0
4x + 0 = 0 + 9y
4x = 0 + 9y
Remove the zero:
4x = 9y

Divide each side by '4'.
x = 2.25y

Simplifying
x = 2.25y

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 = {2.25y, -3.666666667y}

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