(2x+11y)(4x-9y)=

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Solution for (2x+11y)(4x-9y)= equation: 


Simplifying
(2x + 11y)(4x + -9y) = 0

Multiply (2x + 11y) * (4x + -9y)
(2x * (4x + -9y) + 11y * (4x + -9y)) = 0
((4x * 2x + -9y * 2x) + 11y * (4x + -9y)) = 0

Reorder the terms:
((-18xy + 8x2) + 11y * (4x + -9y)) = 0
((-18xy + 8x2) + 11y * (4x + -9y)) = 0
(-18xy + 8x2 + (4x * 11y + -9y * 11y)) = 0
(-18xy + 8x2 + (44xy + -99y2)) = 0

Reorder the terms:
(-18xy + 44xy + 8x2 + -99y2) = 0

Combine like terms: -18xy + 44xy = 26xy
(26xy + 8x2 + -99y2) = 0

Solving
26xy + 8x2 + -99y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4x + -9y)(2x + 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 '(2x + 11y)' equal to zero and attempt to solve:

Simplifying
2x + 11y = 0

Solving
2x + 11y = 0

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

Add '-11y' to each side of the equation.
2x + 11y + -11y = 0 + -11y

Combine like terms: 11y + -11y = 0
2x + 0 = 0 + -11y
2x = 0 + -11y
Remove the zero:
2x = -11y

Divide each side by '2'.
x = -5.5y

Simplifying
x = -5.5y
Solution
x = {2.25y, -5.5y}

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