2m^2-13=-10

Solution for 2m^2-13=-10 equation:

Simplifying
2m2 + -13 = -10

Reorder the terms:
-13 + 2m2 = -10

Solving
-13 + 2m2 = -10

Solving for variable 'm'.

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

Add '13' to each side of the equation.
-13 + 13 + 2m2 = -10 + 13

Combine like terms: -13 + 13 = 0
0 + 2m2 = -10 + 13
2m2 = -10 + 13

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

Divide each side by '2'.
m2 = 1.5

Simplifying
m2 = 1.5

Take the square root of each side:
m = {-1.224744871, 1.224744871}