0=3m^2-7m-20

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Solution for 0=3m^2-7m-20 equation:


Simplifying
0 = 3m2 + -7m + -20

Reorder the terms:
0 = -20 + -7m + 3m2

Solving
0 = -20 + -7m + 3m2

Solving for variable 'm'.

Combine like terms: 0 + 20 = 20
20 + 7m + -3m2 = -20 + -7m + 3m2 + 20 + 7m + -3m2

Reorder the terms:
20 + 7m + -3m2 = -20 + 20 + -7m + 7m + 3m2 + -3m2

Combine like terms: -20 + 20 = 0
20 + 7m + -3m2 = 0 + -7m + 7m + 3m2 + -3m2
20 + 7m + -3m2 = -7m + 7m + 3m2 + -3m2

Combine like terms: -7m + 7m = 0
20 + 7m + -3m2 = 0 + 3m2 + -3m2
20 + 7m + -3m2 = 3m2 + -3m2

Combine like terms: 3m2 + -3m2 = 0
20 + 7m + -3m2 = 0

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

Subproblem 1

Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4

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 = {4, -1.666666667}

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