(4m-11n)(3m+2n)=

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Solution for (4m-11n)(3m+2n)= equation: 


Simplifying
(4m + -11n)(3m + 2n) = 0

Multiply (4m + -11n) * (3m + 2n)
(4m * (3m + 2n) + -11n * (3m + 2n)) = 0
((3m * 4m + 2n * 4m) + -11n * (3m + 2n)) = 0

Reorder the terms:
((8mn + 12m2) + -11n * (3m + 2n)) = 0
((8mn + 12m2) + -11n * (3m + 2n)) = 0
(8mn + 12m2 + (3m * -11n + 2n * -11n)) = 0
(8mn + 12m2 + (-33mn + -22n2)) = 0

Reorder the terms:
(8mn + -33mn + 12m2 + -22n2) = 0

Combine like terms: 8mn + -33mn = -25mn
(-25mn + 12m2 + -22n2) = 0

Solving
-25mn + 12m2 + -22n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(4m + -11n)(3m + 2n) = 0


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

Simplifying
4m + -11n = 0

Solving
4m + -11n = 0

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

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

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

Divide each side by '4'.
m = 2.75n

Simplifying
m = 2.75n

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

Simplifying
3m + 2n = 0

Solving
3m + 2n = 0

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

Add '-2n' to each side of the equation.
3m + 2n + -2n = 0 + -2n

Combine like terms: 2n + -2n = 0
3m + 0 = 0 + -2n
3m = 0 + -2n
Remove the zero:
3m = -2n

Divide each side by '3'.
m = -0.6666666667n

Simplifying
m = -0.6666666667n
Solution
m = {2.75n, -0.6666666667n}

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