3m^2-3m=8m+4

Solution for 3m^2-3m=8m+4 equation:

Simplifying
3m2 + -3m = 8m + 4

Reorder the terms:
-3m + 3m2 = 8m + 4

Reorder the terms:
-3m + 3m2 = 4 + 8m

Solving
-3m + 3m2 = 4 + 8m

Solving for variable 'm'.

Reorder the terms:
-4 + -3m + -8m + 3m2 = 4 + 8m + -4 + -8m

Combine like terms: -3m + -8m = -11m
-4 + -11m + 3m2 = 4 + 8m + -4 + -8m

Reorder the terms:
-4 + -11m + 3m2 = 4 + -4 + 8m + -8m

Combine like terms: 4 + -4 = 0
-4 + -11m + 3m2 = 0 + 8m + -8m
-4 + -11m + 3m2 = 8m + -8m

Combine like terms: 8m + -8m = 0
-4 + -11m + 3m2 = 0

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

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

Simplifying
4 + -1m = 0

Solving
4 + -1m = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1m = 0 + -4

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

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

Divide each side by '-1'.
m = 4

Simplifying
m = 4
Solution
m = {-0.3333333333, 4}