9m^2+30m+25=0

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Solution for 9m^2+30m+25=0 equation:


Simplifying
9m2 + 30m + 25 = 0

Reorder the terms:
25 + 30m + 9m2 = 0

Solving
25 + 30m + 9m2 = 0

Solving for variable 'm'.

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

Subproblem 1

Set the factor '(5 + 3m)' equal to zero and attempt to solve: Simplifying 5 + 3m = 0 Solving 5 + 3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3m = 0 + -5 3m = 0 + -5 Combine like terms: 0 + -5 = -5 3m = -5 Divide each side by '3'. m = -1.666666667 Simplifying m = -1.666666667

Subproblem 2

Set the factor '(5 + 3m)' equal to zero and attempt to solve: Simplifying 5 + 3m = 0 Solving 5 + 3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3m = 0 + -5 3m = 0 + -5 Combine like terms: 0 + -5 = -5 3m = -5 Divide each side by '3'. m = -1.666666667 Simplifying m = -1.666666667

Solution

m = {-1.666666667, -1.666666667}

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