-28m^2=14m

Solution for -28m^2=14m equation:

Simplifying
-28m2 = 14m

Solving
-28m2 = 14m

Solving for variable 'm'.

Reorder the terms:
-14m + -28m2 = 14m + -14m

Combine like terms: 14m + -14m = 0
-14m + -28m2 = 0

Factor out the Greatest Common Factor (GCF), '-14m'.
-14m(1 + 2m) = 0

Ignore the factor -14.
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 '(1 + 2m)' equal to zero and attempt to solve:

Simplifying
1 + 2m = 0

Solving
1 + 2m = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2m = 0 + -1
2m = 0 + -1

Combine like terms: 0 + -1 = -1
2m = -1

Divide each side by '2'.
m = -0.5

Simplifying
m = -0.5
Solution
m = {0, -0.5}