-19m^2+77m-60=0

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Solution for -19m^2+77m-60=0 equation:


Simplifying
-19m2 + 77m + -60 = 0

Reorder the terms:
-60 + 77m + -19m2 = 0

Solving
-60 + 77m + -19m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-3 + m)(20 + -19m) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(20 + -19m)' equal to zero and attempt to solve: Simplifying 20 + -19m = 0 Solving 20 + -19m = 0 Move all terms containing m to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -19m = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -19m = 0 + -20 -19m = 0 + -20 Combine like terms: 0 + -20 = -20 -19m = -20 Divide each side by '-19'. m = 1.052631579 Simplifying m = 1.052631579

Solution

m = {3, 1.052631579}

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