-6m=8m^2

Solution for -6m=8m^2 equation:

Simplifying
-6m = 8m2

Solving
-6m = 8m2

Solving for variable 'm'.

Combine like terms: 8m2 + -8m2 = 0
-6m + -8m2 = 0

Factor out the Greatest Common Factor (GCF), '-2m'.
-2m(3 + 4m) = 0

Ignore the factor -2.
Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0
Subproblem 2
Set the factor '(3 + 4m)' equal to zero and attempt to solve:

Simplifying
3 + 4m = 0

Solving
3 + 4m = 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 + 4m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4m = 0 + -3
4m = 0 + -3

Combine like terms: 0 + -3 = -3
4m = -3

Divide each side by '4'.
m = -0.75

Simplifying
m = -0.75
Solution
m = {0, -0.75}