112=10m^2+12

Solution for 112=10m^2+12 equation:

Simplifying
112 = 10m2 + 12

Reorder the terms:
112 = 12 + 10m2

Solving
112 = 12 + 10m2

Solving for variable 'm'.

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

Add '-10m2' to each side of the equation.
112 + -10m2 = 12 + 10m2 + -10m2

Combine like terms: 10m2 + -10m2 = 0
112 + -10m2 = 12 + 0
112 + -10m2 = 12

Add '-112' to each side of the equation.
112 + -112 + -10m2 = 12 + -112

Combine like terms: 112 + -112 = 0
0 + -10m2 = 12 + -112
-10m2 = 12 + -112

Combine like terms: 12 + -112 = -100
-10m2 = -100

Divide each side by '-10'.
m2 = 10

Simplifying
m2 = 10

Take the square root of each side:
m = {-3.16227766, 3.16227766}