12m^2+25m+7=

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Solution for 12m^2+25m+7= equation:


Simplifying
12m2 + 25m + 7 = 0

Reorder the terms:
7 + 25m + 12m2 = 0

Solving
7 + 25m + 12m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(7 + 4m)(1 + 3m) = 0

Subproblem 1

Set the factor '(7 + 4m)' equal to zero and attempt to solve: Simplifying 7 + 4m = 0 Solving 7 + 4m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4m = 0 + -7 4m = 0 + -7 Combine like terms: 0 + -7 = -7 4m = -7 Divide each side by '4'. m = -1.75 Simplifying m = -1.75

Subproblem 2

Set the factor '(1 + 3m)' equal to zero and attempt to solve: Simplifying 1 + 3m = 0 Solving 1 + 3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3m = 0 + -1 3m = 0 + -1 Combine like terms: 0 + -1 = -1 3m = -1 Divide each side by '3'. m = -0.3333333333 Simplifying m = -0.3333333333

Solution

m = {-1.75, -0.3333333333}

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