3m^2-5m-372=0

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Solution for 3m^2-5m-372=0 equation:


Simplifying
3m2 + -5m + -372 = 0

Reorder the terms:
-372 + -5m + 3m2 = 0

Solving
-372 + -5m + 3m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-31 + -3m)(12 + -1m) = 0

Subproblem 1

Set the factor '(-31 + -3m)' equal to zero and attempt to solve: Simplifying -31 + -3m = 0 Solving -31 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -3m = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -3m = 0 + 31 -3m = 0 + 31 Combine like terms: 0 + 31 = 31 -3m = 31 Divide each side by '-3'. m = -10.33333333 Simplifying m = -10.33333333

Subproblem 2

Set the factor '(12 + -1m)' equal to zero and attempt to solve: Simplifying 12 + -1m = 0 Solving 12 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1m = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1m = 0 + -12 -1m = 0 + -12 Combine like terms: 0 + -12 = -12 -1m = -12 Divide each side by '-1'. m = 12 Simplifying m = 12

Solution

m = {-10.33333333, 12}

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