m^2+1=3m^2-13

Solution for m^2+1=3m^2-13 equation:

Simplifying
m2 + 1 = 3m2 + -13

Reorder the terms:
1 + m2 = 3m2 + -13

Reorder the terms:
1 + m2 = -13 + 3m2

Solving
1 + m2 = -13 + 3m2

Solving for variable 'm'.

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

Add '-3m2' to each side of the equation.
1 + m2 + -3m2 = -13 + 3m2 + -3m2

Combine like terms: m2 + -3m2 = -2m2
1 + -2m2 = -13 + 3m2 + -3m2

Combine like terms: 3m2 + -3m2 = 0
1 + -2m2 = -13 + 0
1 + -2m2 = -13

Add '-1' to each side of the equation.
1 + -1 + -2m2 = -13 + -1

Combine like terms: 1 + -1 = 0
0 + -2m2 = -13 + -1
-2m2 = -13 + -1

Combine like terms: -13 + -1 = -14
-2m2 = -14

Divide each side by '-2'.
m2 = 7

Simplifying
m2 = 7

Take the square root of each side:
m = {-2.645751311, 2.645751311}