3m^2+8m=51

Solution for 3m^2+8m=51 equation:

Simplifying
3m2 + 8m = 51

Reorder the terms:
8m + 3m2 = 51

Solving
8m + 3m2 = 51

Solving for variable 'm'.

Reorder the terms:
-51 + 8m + 3m2 = 51 + -51

Combine like terms: 51 + -51 = 0
-51 + 8m + 3m2 = 0

Factor a trinomial.
(-17 + -3m)(3 + -1m) = 0

Subproblem 1
Set the factor '(-17 + -3m)' equal to zero and attempt to solve:

Simplifying
-17 + -3m = 0

Solving
-17 + -3m = 0

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

Add '17' to each side of the equation.
-17 + 17 + -3m = 0 + 17

Combine like terms: -17 + 17 = 0
0 + -3m = 0 + 17
-3m = 0 + 17

Combine like terms: 0 + 17 = 17
-3m = 17

Divide each side by '-3'.
m = -5.666666667

Simplifying
m = -5.666666667
Subproblem 2
Set the factor '(3 + -1m)' equal to zero and attempt to solve:

Simplifying
3 + -1m = 0

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

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

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

Divide each side by '-1'.
m = 3

Simplifying
m = 3
Solution
m = {-5.666666667, 3}