2m^2-42-8=0

Solution for 2m^2-42-8=0 equation:

Simplifying
2m2 + -42 + -8 = 0

Reorder the terms:
-42 + -8 + 2m2 = 0

Combine like terms: -42 + -8 = -50
-50 + 2m2 = 0

Solving
-50 + 2m2 = 0

Solving for variable 'm'.

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

Add '50' to each side of the equation.
-50 + 50 + 2m2 = 0 + 50

Combine like terms: -50 + 50 = 0
0 + 2m2 = 0 + 50
2m2 = 0 + 50

Combine like terms: 0 + 50 = 50
2m2 = 50

Divide each side by '2'.
m2 = 25

Simplifying
m2 = 25

Take the square root of each side:
m = {-5, 5}