36m^2+84mn+49n^2=

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Solution for 36m^2+84mn+49n^2= equation:


Simplifying
36m2 + 84mn + 49n2 = 0

Reorder the terms:
84mn + 36m2 + 49n2 = 0

Solving
84mn + 36m2 + 49n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(6m + 7n)(6m + 7n) = 0

Subproblem 1

Set the factor '(6m + 7n)' equal to zero and attempt to solve: Simplifying 6m + 7n = 0 Solving 6m + 7n = 0 Move all terms containing m to the left, all other terms to the right. Add '-7n' to each side of the equation. 6m + 7n + -7n = 0 + -7n Combine like terms: 7n + -7n = 0 6m + 0 = 0 + -7n 6m = 0 + -7n Remove the zero: 6m = -7n Divide each side by '6'. m = -1.166666667n Simplifying m = -1.166666667n

Subproblem 2

Set the factor '(6m + 7n)' equal to zero and attempt to solve: Simplifying 6m + 7n = 0 Solving 6m + 7n = 0 Move all terms containing m to the left, all other terms to the right. Add '-7n' to each side of the equation. 6m + 7n + -7n = 0 + -7n Combine like terms: 7n + -7n = 0 6m + 0 = 0 + -7n 6m = 0 + -7n Remove the zero: 6m = -7n Divide each side by '6'. m = -1.166666667n Simplifying m = -1.166666667n

Solution

m = {-1.166666667n, -1.166666667n}

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