10m^2+1=251

Solution for 10m^2+1=251 equation:

Simplifying
10m2 + 1 = 251

Reorder the terms:
1 + 10m2 = 251

Solving
1 + 10m2 = 251

Solving for variable 'm'.

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

Add '-1' to each side of the equation.
1 + -1 + 10m2 = 251 + -1

Combine like terms: 1 + -1 = 0
0 + 10m2 = 251 + -1
10m2 = 251 + -1

Combine like terms: 251 + -1 = 250
10m2 = 250

Divide each side by '10'.
m2 = 25

Simplifying
m2 = 25

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