(11m-4n)(4m+8n)=

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Solution for (11m-4n)(4m+8n)= equation: 


Simplifying
(11m + -4n)(4m + 8n) = 0

Multiply (11m + -4n) * (4m + 8n)
(11m * (4m + 8n) + -4n * (4m + 8n)) = 0
((4m * 11m + 8n * 11m) + -4n * (4m + 8n)) = 0

Reorder the terms:
((88mn + 44m2) + -4n * (4m + 8n)) = 0
((88mn + 44m2) + -4n * (4m + 8n)) = 0
(88mn + 44m2 + (4m * -4n + 8n * -4n)) = 0
(88mn + 44m2 + (-16mn + -32n2)) = 0

Reorder the terms:
(88mn + -16mn + 44m2 + -32n2) = 0

Combine like terms: 88mn + -16mn = 72mn
(72mn + 44m2 + -32n2) = 0

Solving
72mn + 44m2 + -32n2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '4'.
4(18mn + 11m2 + -8n2) = 0

Factor a trinomial.
4((11m + -4n)(m + 2n)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(11m + -4n)' equal to zero and attempt to solve:

Simplifying
11m + -4n = 0

Solving
11m + -4n = 0

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

Add '4n' to each side of the equation.
11m + -4n + 4n = 0 + 4n

Combine like terms: -4n + 4n = 0
11m + 0 = 0 + 4n
11m = 0 + 4n
Remove the zero:
11m = 4n

Divide each side by '11'.
m = 0.3636363636n

Simplifying
m = 0.3636363636n

Subproblem 2
Set the factor '(m + 2n)' equal to zero and attempt to solve:

Simplifying
m + 2n = 0

Solving
m + 2n = 0

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

Add '-2n' to each side of the equation.
m + 2n + -2n = 0 + -2n

Combine like terms: 2n + -2n = 0
m + 0 = 0 + -2n
m = 0 + -2n
Remove the zero:
m = -2n

Simplifying
m = -2n
Solution
m = {0.3636363636n, -2n}

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