10m^2-6=464

Solution for 10m^2-6=464 equation:

Simplifying
10m2 + -6 = 464

Reorder the terms:
-6 + 10m2 = 464

Solving
-6 + 10m2 = 464

Solving for variable 'm'.

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

Add '6' to each side of the equation.
-6 + 6 + 10m2 = 464 + 6

Combine like terms: -6 + 6 = 0
0 + 10m2 = 464 + 6
10m2 = 464 + 6

Combine like terms: 464 + 6 = 470
10m2 = 470

Divide each side by '10'.
m2 = 47

Simplifying
m2 = 47

Take the square root of each side:
m = {-6.8556546, 6.8556546}