30b^2-b-3=0

Solution for 30b^2-b-3=0 equation:

Simplifying
30b2 + -1b + -3 = 0

Reorder the terms:
-3 + -1b + 30b2 = 0

Solving
-3 + -1b + 30b2 = 0

Solving for variable 'b'.

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

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

Simplifying
-3 + -10b = 0

Solving
-3 + -10b = 0

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

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

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

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

Divide each side by '-10'.
b = -0.3

Simplifying
b = -0.3
Subproblem 2
Set the factor '(1 + -3b)' equal to zero and attempt to solve:

Simplifying
1 + -3b = 0

Solving
1 + -3b = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3b = 0 + -1

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

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

Divide each side by '-3'.
b = 0.3333333333

Simplifying
b = 0.3333333333
Solution
b = {-0.3, 0.3333333333}