(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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