m^2-31-2m=-6-3m^2-2m

Solution for m^2-31-2m=-6-3m^2-2m equation:

Simplifying
m2 + -31 + -2m = -6 + -3m2 + -2m

Reorder the terms:
-31 + -2m + m2 = -6 + -3m2 + -2m

Reorder the terms:
-31 + -2m + m2 = -6 + -2m + -3m2

Add '2m' to each side of the equation.
-31 + -2m + 2m + m2 = -6 + -2m + 2m + -3m2

Combine like terms: -2m + 2m = 0
-31 + 0 + m2 = -6 + -2m + 2m + -3m2
-31 + m2 = -6 + -2m + 2m + -3m2

Combine like terms: -2m + 2m = 0
-31 + m2 = -6 + 0 + -3m2
-31 + m2 = -6 + -3m2

Solving
-31 + m2 = -6 + -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.
-31 + m2 + 3m2 = -6 + -3m2 + 3m2

Combine like terms: m2 + 3m2 = 4m2
-31 + 4m2 = -6 + -3m2 + 3m2

Combine like terms: -3m2 + 3m2 = 0
-31 + 4m2 = -6 + 0
-31 + 4m2 = -6

Add '31' to each side of the equation.
-31 + 31 + 4m2 = -6 + 31

Combine like terms: -31 + 31 = 0
0 + 4m2 = -6 + 31
4m2 = -6 + 31

Combine like terms: -6 + 31 = 25
4m2 = 25

Divide each side by '4'.
m2 = 6.25

Simplifying
m2 = 6.25

Take the square root of each side:
m = {-2.5, 2.5}