25m^2-30mn+9n^2=

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Solution for 25m^2-30mn+9n^2= equation:


Simplifying
25m2 + -30mn + 9n2 = 0

Reorder the terms:
-30mn + 25m2 + 9n2 = 0

Solving
-30mn + 25m2 + 9n2 = 0

Solving for variable 'm'.

Factor a trinomial.
(5m + -3n)(5m + -3n) = 0

Subproblem 1

Set the factor '(5m + -3n)' equal to zero and attempt to solve: Simplifying 5m + -3n = 0 Solving 5m + -3n = 0 Move all terms containing m to the left, all other terms to the right. Add '3n' to each side of the equation. 5m + -3n + 3n = 0 + 3n Combine like terms: -3n + 3n = 0 5m + 0 = 0 + 3n 5m = 0 + 3n Remove the zero: 5m = 3n Divide each side by '5'. m = 0.6n Simplifying m = 0.6n

Subproblem 2

Set the factor '(5m + -3n)' equal to zero and attempt to solve: Simplifying 5m + -3n = 0 Solving 5m + -3n = 0 Move all terms containing m to the left, all other terms to the right. Add '3n' to each side of the equation. 5m + -3n + 3n = 0 + 3n Combine like terms: -3n + 3n = 0 5m + 0 = 0 + 3n 5m = 0 + 3n Remove the zero: 5m = 3n Divide each side by '5'. m = 0.6n Simplifying m = 0.6n

Solution

m = {0.6n, 0.6n}

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