8m^2=-144-72m

Solution for 8m^2=-144-72m equation:

Simplifying
8m2 = -144 + -72m

Solving
8m2 = -144 + -72m

Solving for variable 'm'.

Reorder the terms:
144 + 72m + 8m2 = -144 + -72m + 144 + 72m

Reorder the terms:
144 + 72m + 8m2 = -144 + 144 + -72m + 72m

Combine like terms: -144 + 144 = 0
144 + 72m + 8m2 = 0 + -72m + 72m
144 + 72m + 8m2 = -72m + 72m

Combine like terms: -72m + 72m = 0
144 + 72m + 8m2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(18 + 9m + m2) = 0

Factor a trinomial.
8((6 + m)(3 + m)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(6 + m)' equal to zero and attempt to solve:

Simplifying
6 + m = 0

Solving
6 + m = 0

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

Add '-6' to each side of the equation.
6 + -6 + m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + m = 0 + -6
m = 0 + -6

Combine like terms: 0 + -6 = -6
m = -6

Simplifying
m = -6
Subproblem 2
Set the factor '(3 + m)' equal to zero and attempt to solve:

Simplifying
3 + m = 0

Solving
3 + m = 0

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

Add '-3' to each side of the equation.
3 + -3 + m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + m = 0 + -3
m = 0 + -3

Combine like terms: 0 + -3 = -3
m = -3

Simplifying
m = -3
Solution
m = {-6, -3}