12m^2-20mn-25n^2=

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Solution for 12m^2-20mn-25n^2= equation:


Simplifying
12m2 + -20mn + -25n2 = 0

Reorder the terms:
-20mn + 12m2 + -25n2 = 0

Solving
-20mn + 12m2 + -25n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(2m + -5n)(6m + 5n) = 0

Subproblem 1

Set the factor '(2m + -5n)' equal to zero and attempt to solve: Simplifying 2m + -5n = 0 Solving 2m + -5n = 0 Move all terms containing m to the left, all other terms to the right. Add '5n' to each side of the equation. 2m + -5n + 5n = 0 + 5n Combine like terms: -5n + 5n = 0 2m + 0 = 0 + 5n 2m = 0 + 5n Remove the zero: 2m = 5n Divide each side by '2'. m = 2.5n Simplifying m = 2.5n

Subproblem 2

Set the factor '(6m + 5n)' equal to zero and attempt to solve: Simplifying 6m + 5n = 0 Solving 6m + 5n = 0 Move all terms containing m to the left, all other terms to the right. Add '-5n' to each side of the equation. 6m + 5n + -5n = 0 + -5n Combine like terms: 5n + -5n = 0 6m + 0 = 0 + -5n 6m = 0 + -5n Remove the zero: 6m = -5n Divide each side by '6'. m = -0.8333333333n Simplifying m = -0.8333333333n

Solution

m = {2.5n, -0.8333333333n}

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