25m^2+40mn+16n^2=0

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Solution for 25m^2+40mn+16n^2=0 equation:


Simplifying
25m2 + 40mn + 16n2 = 0

Reorder the terms:
40mn + 25m2 + 16n2 = 0

Solving
40mn + 25m2 + 16n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(5m + 4n)(5m + 4n) = 0

Subproblem 1

Set the factor '(5m + 4n)' equal to zero and attempt to solve: Simplifying 5m + 4n = 0 Solving 5m + 4n = 0 Move all terms containing m to the left, all other terms to the right. Add '-4n' to each side of the equation. 5m + 4n + -4n = 0 + -4n Combine like terms: 4n + -4n = 0 5m + 0 = 0 + -4n 5m = 0 + -4n Remove the zero: 5m = -4n Divide each side by '5'. m = -0.8n Simplifying m = -0.8n

Subproblem 2

Set the factor '(5m + 4n)' equal to zero and attempt to solve: Simplifying 5m + 4n = 0 Solving 5m + 4n = 0 Move all terms containing m to the left, all other terms to the right. Add '-4n' to each side of the equation. 5m + 4n + -4n = 0 + -4n Combine like terms: 4n + -4n = 0 5m + 0 = 0 + -4n 5m = 0 + -4n Remove the zero: 5m = -4n Divide each side by '5'. m = -0.8n Simplifying m = -0.8n

Solution

m = {-0.8n, -0.8n}

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