-30m^2+m+1=

Solution for -30m^2+m+1= equation:

Simplifying
-30m2 + m + 1 = 0

Reorder the terms:
1 + m + -30m2 = 0

Solving
1 + m + -30m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(1 + -5m)(1 + 6m) = 0

Subproblem 1
Set the factor '(1 + -5m)' equal to zero and attempt to solve:

Simplifying
1 + -5m = 0

Solving
1 + -5m = 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 + -5m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5m = 0 + -1
-5m = 0 + -1

Combine like terms: 0 + -1 = -1
-5m = -1

Divide each side by '-5'.
m = 0.2

Simplifying
m = 0.2
Subproblem 2
Set the factor '(1 + 6m)' equal to zero and attempt to solve:

Simplifying
1 + 6m = 0

Solving
1 + 6m = 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 + 6m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6m = 0 + -1
6m = 0 + -1

Combine like terms: 0 + -1 = -1
6m = -1

Divide each side by '6'.
m = -0.1666666667

Simplifying
m = -0.1666666667
Solution
m = {0.2, -0.1666666667}