2m^2+m-13=-3

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

Simplifying
2m2 + m + -13 = -3

Reorder the terms:
-13 + m + 2m2 = -3

Solving
-13 + m + 2m2 = -3

Solving for variable 'm'.

Reorder the terms:
-13 + 3 + m + 2m2 = -3 + 3

Combine like terms: -13 + 3 = -10
-10 + m + 2m2 = -3 + 3

Combine like terms: -3 + 3 = 0
-10 + m + 2m2 = 0

Factor a trinomial.
(-5 + -2m)(2 + -1m) = 0

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

Simplifying
-5 + -2m = 0

Solving
-5 + -2m = 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 + -2m = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2m = 0 + 5
-2m = 0 + 5

Combine like terms: 0 + 5 = 5
-2m = 5

Divide each side by '-2'.
m = -2.5

Simplifying
m = -2.5
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 = {-2.5, 2}