(11m-2n)(3m+8n)=

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Solution for (11m-2n)(3m+8n)= equation: 


Simplifying
(11m + -2n)(3m + 8n) = 0

Multiply (11m + -2n) * (3m + 8n)
(11m * (3m + 8n) + -2n * (3m + 8n)) = 0
((3m * 11m + 8n * 11m) + -2n * (3m + 8n)) = 0

Reorder the terms:
((88mn + 33m2) + -2n * (3m + 8n)) = 0
((88mn + 33m2) + -2n * (3m + 8n)) = 0
(88mn + 33m2 + (3m * -2n + 8n * -2n)) = 0
(88mn + 33m2 + (-6mn + -16n2)) = 0

Reorder the terms:
(88mn + -6mn + 33m2 + -16n2) = 0

Combine like terms: 88mn + -6mn = 82mn
(82mn + 33m2 + -16n2) = 0

Solving
82mn + 33m2 + -16n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(11m + -2n)(3m + 8n) = 0


Subproblem 1
Set the factor '(11m + -2n)' equal to zero and attempt to solve:

Simplifying
11m + -2n = 0

Solving
11m + -2n = 0

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

Add '2n' to each side of the equation.
11m + -2n + 2n = 0 + 2n

Combine like terms: -2n + 2n = 0
11m + 0 = 0 + 2n
11m = 0 + 2n
Remove the zero:
11m = 2n

Divide each side by '11'.
m = 0.1818181818n

Simplifying
m = 0.1818181818n

Subproblem 2
Set the factor '(3m + 8n)' equal to zero and attempt to solve:

Simplifying
3m + 8n = 0

Solving
3m + 8n = 0

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

Add '-8n' to each side of the equation.
3m + 8n + -8n = 0 + -8n

Combine like terms: 8n + -8n = 0
3m + 0 = 0 + -8n
3m = 0 + -8n
Remove the zero:
3m = -8n

Divide each side by '3'.
m = -2.666666667n

Simplifying
m = -2.666666667n
Solution
m = {0.1818181818n, -2.666666667n}

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