=9b^2+3b-20

Solution for =9b^2+3b-20 equation:

Simplifying
0 = 9b2 + 3b + -20

Reorder the terms:
0 = -20 + 3b + 9b2

Solving
0 = -20 + 3b + 9b2

Solving for variable 'b'.

Combine like terms: 0 + 20 = 20
20 + -3b + -9b2 = -20 + 3b + 9b2 + 20 + -3b + -9b2

Reorder the terms:
20 + -3b + -9b2 = -20 + 20 + 3b + -3b + 9b2 + -9b2

Combine like terms: -20 + 20 = 0
20 + -3b + -9b2 = 0 + 3b + -3b + 9b2 + -9b2
20 + -3b + -9b2 = 3b + -3b + 9b2 + -9b2

Combine like terms: 3b + -3b = 0
20 + -3b + -9b2 = 0 + 9b2 + -9b2
20 + -3b + -9b2 = 9b2 + -9b2

Combine like terms: 9b2 + -9b2 = 0
20 + -3b + -9b2 = 0

Factor a trinomial.
(4 + -3b)(5 + 3b) = 0

Subproblem 1
Set the factor '(4 + -3b)' equal to zero and attempt to solve:

Simplifying
4 + -3b = 0

Solving
4 + -3b = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3b = 0 + -4
-3b = 0 + -4

Combine like terms: 0 + -4 = -4
-3b = -4

Divide each side by '-3'.
b = 1.333333333

Simplifying
b = 1.333333333
Subproblem 2
Set the factor '(5 + 3b)' equal to zero and attempt to solve:

Simplifying
5 + 3b = 0

Solving
5 + 3b = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3b = 0 + -5
3b = 0 + -5

Combine like terms: 0 + -5 = -5
3b = -5

Divide each side by '3'.
b = -1.666666667

Simplifying
b = -1.666666667
Solution
b = {1.333333333, -1.666666667}