5m^2+m-130=0

Solution for 5m^2+m-130=0 equation:

Simplifying
5m2 + m + -130 = 0

Reorder the terms:
-130 + m + 5m2 = 0

Solving
-130 + m + 5m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-26 + -5m)(5 + -1m) = 0

Subproblem 1
Set the factor '(-26 + -5m)' equal to zero and attempt to solve:

Simplifying
-26 + -5m = 0

Solving
-26 + -5m = 0

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

Add '26' to each side of the equation.
-26 + 26 + -5m = 0 + 26

Combine like terms: -26 + 26 = 0
0 + -5m = 0 + 26
-5m = 0 + 26

Combine like terms: 0 + 26 = 26
-5m = 26

Divide each side by '-5'.
m = -5.2

Simplifying
m = -5.2
Subproblem 2
Set the factor '(5 + -1m)' equal to zero and attempt to solve:

Simplifying
5 + -1m = 0

Solving
5 + -1m = 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 + -1m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1m = 0 + -5
-1m = 0 + -5

Combine like terms: 0 + -5 = -5
-1m = -5

Divide each side by '-1'.
m = 5

Simplifying
m = 5
Solution
m = {-5.2, 5}