(2x+11y)(4x+8y)=

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Solution for (2x+11y)(4x+8y)= equation: 


Simplifying
(2x + 11y)(4x + 8y) = 0

Multiply (2x + 11y) * (4x + 8y)
(2x * (4x + 8y) + 11y * (4x + 8y)) = 0
((4x * 2x + 8y * 2x) + 11y * (4x + 8y)) = 0

Reorder the terms:
((16xy + 8x2) + 11y * (4x + 8y)) = 0
((16xy + 8x2) + 11y * (4x + 8y)) = 0
(16xy + 8x2 + (4x * 11y + 8y * 11y)) = 0
(16xy + 8x2 + (44xy + 88y2)) = 0

Reorder the terms:
(16xy + 44xy + 8x2 + 88y2) = 0

Combine like terms: 16xy + 44xy = 60xy
(60xy + 8x2 + 88y2) = 0

Solving
60xy + 8x2 + 88y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(15xy + 2x2 + 22y2) = 0

Factor a trinomial.
4((x + 2y)(2x + 11y)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(x + 2y)' equal to zero and attempt to solve:

Simplifying
x + 2y = 0

Solving
x + 2y = 0

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

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

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

Simplifying
x = -2y

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 = {-2y, -5.5y}

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