6m^2-13=19

Solution for 6m^2-13=19 equation:

Simplifying
6m2 + -13 = 19

Reorder the terms:
-13 + 6m2 = 19

Solving
-13 + 6m2 = 19

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 + 6m2 = 19 + 13

Combine like terms: -13 + 13 = 0
0 + 6m2 = 19 + 13
6m2 = 19 + 13

Combine like terms: 19 + 13 = 32
6m2 = 32

Divide each side by '6'.
m2 = 5.333333333

Simplifying
m2 = 5.333333333

Take the square root of each side:
m = {-2.309401077, 2.309401077}