3b^2-4b-20=0

Solution for 3b^2-4b-20=0 equation:

Simplifying
3b2 + -4b + -20 = 0

Reorder the terms:
-20 + -4b + 3b2 = 0

Solving
-20 + -4b + 3b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-2 + -1b)(10 + -3b) = 0

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

Simplifying
-2 + -1b = 0

Solving
-2 + -1b = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1b = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1b = 0 + 2
-1b = 0 + 2

Combine like terms: 0 + 2 = 2
-1b = 2

Divide each side by '-1'.
b = -2

Simplifying
b = -2
Subproblem 2
Set the factor '(10 + -3b)' equal to zero and attempt to solve:

Simplifying
10 + -3b = 0

Solving
10 + -3b = 0

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

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

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

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

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

Simplifying
b = 3.333333333
Solution
b = {-2, 3.333333333}