12m^2-11m-5=

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Solution for 12m^2-11m-5= equation:


Simplifying
12m2 + -11m + -5 = 0

Reorder the terms:
-5 + -11m + 12m2 = 0

Solving
-5 + -11m + 12m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-1 + -3m)(5 + -4m) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(5 + -4m)' equal to zero and attempt to solve: Simplifying 5 + -4m = 0 Solving 5 + -4m = 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 + -4m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4m = 0 + -5 -4m = 0 + -5 Combine like terms: 0 + -5 = -5 -4m = -5 Divide each side by '-4'. m = 1.25 Simplifying m = 1.25

Solution

m = {-0.3333333333, 1.25}

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