6m^2+23-78=0

Solution for 6m^2+23-78=0 equation:

Simplifying
6m2 + 23 + -78 = 0

Reorder the terms:
23 + -78 + 6m2 = 0

Combine like terms: 23 + -78 = -55
-55 + 6m2 = 0

Solving
-55 + 6m2 = 0

Solving for variable 'm'.

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

Add '55' to each side of the equation.
-55 + 55 + 6m2 = 0 + 55

Combine like terms: -55 + 55 = 0
0 + 6m2 = 0 + 55
6m2 = 0 + 55

Combine like terms: 0 + 55 = 55
6m2 = 55

Divide each side by '6'.
m2 = 9.166666667

Simplifying
m2 = 9.166666667

Take the square root of each side:
m = {-3.027650354, 3.027650354}