56m^2+113mn+56n^2=0

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Solution for 56m^2+113mn+56n^2=0 equation:


Simplifying
56m2 + 113mn + 56n2 = 0

Reorder the terms:
113mn + 56m2 + 56n2 = 0

Solving
113mn + 56m2 + 56n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(8m + 7n)(7m + 8n) = 0

Subproblem 1

Set the factor '(8m + 7n)' equal to zero and attempt to solve: Simplifying 8m + 7n = 0 Solving 8m + 7n = 0 Move all terms containing m to the left, all other terms to the right. Add '-7n' to each side of the equation. 8m + 7n + -7n = 0 + -7n Combine like terms: 7n + -7n = 0 8m + 0 = 0 + -7n 8m = 0 + -7n Remove the zero: 8m = -7n Divide each side by '8'. m = -0.875n Simplifying m = -0.875n

Subproblem 2

Set the factor '(7m + 8n)' equal to zero and attempt to solve: Simplifying 7m + 8n = 0 Solving 7m + 8n = 0 Move all terms containing m to the left, all other terms to the right. Add '-8n' to each side of the equation. 7m + 8n + -8n = 0 + -8n Combine like terms: 8n + -8n = 0 7m + 0 = 0 + -8n 7m = 0 + -8n Remove the zero: 7m = -8n Divide each side by '7'. m = -1.142857143n Simplifying m = -1.142857143n

Solution

m = {-0.875n, -1.142857143n}

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