3m^2+10m-28=20

Solution for 3m^2+10m-28=20 equation:

Simplifying
3m2 + 10m + -28 = 20

Reorder the terms:
-28 + 10m + 3m2 = 20

Solving
-28 + 10m + 3m2 = 20

Solving for variable 'm'.

Reorder the terms:
-28 + -20 + 10m + 3m2 = 20 + -20

Combine like terms: -28 + -20 = -48
-48 + 10m + 3m2 = 20 + -20

Combine like terms: 20 + -20 = 0
-48 + 10m + 3m2 = 0

Factor a trinomial.
(-6 + -1m)(8 + -3m) = 0

Subproblem 1
Set the factor '(-6 + -1m)' equal to zero and attempt to solve:

Simplifying
-6 + -1m = 0

Solving
-6 + -1m = 0

Move all terms containing m to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + -1m = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1m = 0 + 6
-1m = 0 + 6

Combine like terms: 0 + 6 = 6
-1m = 6

Divide each side by '-1'.
m = -6

Simplifying
m = -6
Subproblem 2
Set the factor '(8 + -3m)' equal to zero and attempt to solve:

Simplifying
8 + -3m = 0

Solving
8 + -3m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -3m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3m = 0 + -8
-3m = 0 + -8

Combine like terms: 0 + -8 = -8
-3m = -8

Divide each side by '-3'.
m = 2.666666667

Simplifying
m = 2.666666667
Solution
m = {-6, 2.666666667}