6m^2=5-13m

Solution for 6m^2=5-13m equation:

Simplifying
6m2 = 5 + -13m

Solving
6m2 = 5 + -13m

Solving for variable 'm'.

Reorder the terms:
-5 + 13m + 6m2 = 5 + -13m + -5 + 13m

Reorder the terms:
-5 + 13m + 6m2 = 5 + -5 + -13m + 13m

Combine like terms: 5 + -5 = 0
-5 + 13m + 6m2 = 0 + -13m + 13m
-5 + 13m + 6m2 = -13m + 13m

Combine like terms: -13m + 13m = 0
-5 + 13m + 6m2 = 0

Factor a trinomial.
(-5 + -2m)(1 + -3m) = 0

Subproblem 1
Set the factor '(-5 + -2m)' equal to zero and attempt to solve:

Simplifying
-5 + -2m = 0

Solving
-5 + -2m = 0

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

Add '5' to each side of the equation.
-5 + 5 + -2m = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2m = 0 + 5
-2m = 0 + 5

Combine like terms: 0 + 5 = 5
-2m = 5

Divide each side by '-2'.
m = -2.5

Simplifying
m = -2.5
Subproblem 2
Set the factor '(1 + -3m)' equal to zero and attempt to solve:

Simplifying
1 + -3m = 0

Solving
1 + -3m = 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 + -3m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3m = 0 + -1
-3m = 0 + -1

Combine like terms: 0 + -1 = -1
-3m = -1

Divide each side by '-3'.
m = 0.3333333333

Simplifying
m = 0.3333333333
Solution
m = {-2.5, 0.3333333333}