3m^2+m=30

Solution for 3m^2+m=30 equation:

Simplifying
3m2 + m = 30

Reorder the terms:
m + 3m2 = 30

Solving
m + 3m2 = 30

Solving for variable 'm'.

Reorder the terms:
-30 + m + 3m2 = 30 + -30

Combine like terms: 30 + -30 = 0
-30 + m + 3m2 = 0

Factor a trinomial.
(-10 + -3m)(3 + -1m) = 0

Subproblem 1
Set the factor '(-10 + -3m)' equal to zero and attempt to solve:

Simplifying
-10 + -3m = 0

Solving
-10 + -3m = 0

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

Add '10' to each side of the equation.
-10 + 10 + -3m = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -3m = 0 + 10
-3m = 0 + 10

Combine like terms: 0 + 10 = 10
-3m = 10

Divide each side by '-3'.
m = -3.333333333

Simplifying
m = -3.333333333
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 = {-3.333333333, 3}