-m^2+14-(6m^2+13+m^2)=0

Solution for -m^2+14-(6m^2+13+m^2)=0 equation:

Simplifying
-1m2 + 14 + -1(6m2 + 13 + m2) = 0

Reorder the terms:
-1m2 + 14 + -1(13 + 6m2 + m2) = 0

Combine like terms: 6m2 + m2 = 7m2
-1m2 + 14 + -1(13 + 7m2) = 0
-1m2 + 14 + (13 * -1 + 7m2 * -1) = 0
-1m2 + 14 + (-13 + -7m2) = 0

Reorder the terms:
14 + -13 + -1m2 + -7m2 = 0

Combine like terms: 14 + -13 = 1
1 + -1m2 + -7m2 = 0

Combine like terms: -1m2 + -7m2 = -8m2
1 + -8m2 = 0

Solving
1 + -8m2 = 0

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 + -8m2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8m2 = 0 + -1
-8m2 = 0 + -1

Combine like terms: 0 + -1 = -1
-8m2 = -1

Divide each side by '-8'.
m2 = 0.125

Simplifying
m2 = 0.125

Take the square root of each side:
m = {-0.353553391, 0.353553391}