3m^2+10m-13=0

Solution for 3m^2+10m-13=0 equation:

Simplifying
3m2 + 10m + -13 = 0

Reorder the terms:
-13 + 10m + 3m2 = 0

Solving
-13 + 10m + 3m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-13 + -3m)(1 + -1m) = 0

Subproblem 1
Set the factor '(-13 + -3m)' equal to zero and attempt to solve:

Simplifying
-13 + -3m = 0

Solving
-13 + -3m = 0

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

Add '13' to each side of the equation.
-13 + 13 + -3m = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -3m = 0 + 13
-3m = 0 + 13

Combine like terms: 0 + 13 = 13
-3m = 13

Divide each side by '-3'.
m = -4.333333333

Simplifying
m = -4.333333333
Subproblem 2
Set the factor '(1 + -1m)' equal to zero and attempt to solve:

Simplifying
1 + -1m = 0

Solving
1 + -1m = 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 + -1m = 0 + -1

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

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

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

Simplifying
m = 1
Solution
m = {-4.333333333, 1}