(6m^2+3m)-(-5m^2-2m+6)=

Solution for (6m^2+3m)-(-5m^2-2m+6)= equation:

Simplifying
(6m2 + 3m) + -1(-5m2 + -2m + 6) = 0

Reorder the terms:
(3m + 6m2) + -1(-5m2 + -2m + 6) = 0

Remove parenthesis around (3m + 6m2)
3m + 6m2 + -1(-5m2 + -2m + 6) = 0

Reorder the terms:
3m + 6m2 + -1(6 + -2m + -5m2) = 0
3m + 6m2 + (6 * -1 + -2m * -1 + -5m2 * -1) = 0
3m + 6m2 + (-6 + 2m + 5m2) = 0

Reorder the terms:
-6 + 3m + 2m + 6m2 + 5m2 = 0

Combine like terms: 3m + 2m = 5m
-6 + 5m + 6m2 + 5m2 = 0

Combine like terms: 6m2 + 5m2 = 11m2
-6 + 5m + 11m2 = 0

Solving
-6 + 5m + 11m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-1 + -1m)(6 + -11m) = 0

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

Simplifying
-1 + -1m = 0

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

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

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

Divide each side by '-1'.
m = -1

Simplifying
m = -1
Subproblem 2
Set the factor '(6 + -11m)' equal to zero and attempt to solve:

Simplifying
6 + -11m = 0

Solving
6 + -11m = 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 + -11m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -11m = 0 + -6
-11m = 0 + -6

Combine like terms: 0 + -6 = -6
-11m = -6

Divide each side by '-11'.
m = 0.5454545455

Simplifying
m = 0.5454545455
Solution
m = {-1, 0.5454545455}