2m^2=m^2+64

Solution for 2m^2=m^2+64 equation:

Simplifying
2m2 = m2 + 64

Reorder the terms:
2m2 = 64 + m2

Solving
2m2 = 64 + m2

Solving for variable 'm'.

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

Add '-1m2' to each side of the equation.
2m2 + -1m2 = 64 + m2 + -1m2

Combine like terms: 2m2 + -1m2 = 1m2
1m2 = 64 + m2 + -1m2

Combine like terms: m2 + -1m2 = 0
1m2 = 64 + 0
1m2 = 64

Divide each side by '1'.
m2 = 64

Simplifying
m2 = 64

Take the square root of each side:
m = {-8, 8}