3m^2+4m-20=

Solution for 3m^2+4m-20= equation:

Simplifying
3m2 + 4m + -20 = 0

Reorder the terms:
-20 + 4m + 3m2 = 0

Solving
-20 + 4m + 3m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-10 + -3m)(2 + -1m) = 0

Subproblem 1
Set the factor '(-10 + -3m)' equal to zero and attempt to solve:

Simplifying
-10 + -3m = 0

Solving
-10 + -3m = 0

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

Add '10' to each side of the equation.
-10 + 10 + -3m = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -3m = 0 + 10
-3m = 0 + 10

Combine like terms: 0 + 10 = 10
-3m = 10

Divide each side by '-3'.
m = -3.333333333

Simplifying
m = -3.333333333
Subproblem 2
Set the factor '(2 + -1m)' equal to zero and attempt to solve:

Simplifying
2 + -1m = 0

Solving
2 + -1m = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1m = 0 + -2
-1m = 0 + -2

Combine like terms: 0 + -2 = -2
-1m = -2

Divide each side by '-1'.
m = 2

Simplifying
m = 2
Solution
m = {-3.333333333, 2}