(8m^2-2m)+(12m-3)=

Solution for (8m^2-2m)+(12m-3)= equation:

Simplifying
(8m2 + -2m) + (12m + -3) = 0

Reorder the terms:
(-2m + 8m2) + (12m + -3) = 0

Remove parenthesis around (-2m + 8m2)
-2m + 8m2 + (12m + -3) = 0

Reorder the terms:
-2m + 8m2 + (-3 + 12m) = 0

Remove parenthesis around (-3 + 12m)
-2m + 8m2 + -3 + 12m = 0

Reorder the terms:
-3 + -2m + 12m + 8m2 = 0

Combine like terms: -2m + 12m = 10m
-3 + 10m + 8m2 = 0

Solving
-3 + 10m + 8m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-3 + -2m)(1 + -4m) = 0

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

Simplifying
-3 + -2m = 0

Solving
-3 + -2m = 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 + -2m = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2m = 0 + 3
-2m = 0 + 3

Combine like terms: 0 + 3 = 3
-2m = 3

Divide each side by '-2'.
m = -1.5

Simplifying
m = -1.5
Subproblem 2
Set the factor '(1 + -4m)' equal to zero and attempt to solve:

Simplifying
1 + -4m = 0

Solving
1 + -4m = 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 + -4m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4m = 0 + -1
-4m = 0 + -1

Combine like terms: 0 + -1 = -1
-4m = -1

Divide each side by '-4'.
m = 0.25

Simplifying
m = 0.25
Solution
m = {-1.5, 0.25}