3m^2+7m-26=0

Solution for 3m^2+7m-26=0 equation:

Simplifying
3m2 + 7m + -26 = 0

Reorder the terms:
-26 + 7m + 3m2 = 0

Solving
-26 + 7m + 3m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-13 + -3m)(2 + -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 '(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 = {-4.333333333, 2}