9b^2-18b+13=8

Solution for 9b^2-18b+13=8 equation:

Simplifying
9b2 + -18b + 13 = 8

Reorder the terms:
13 + -18b + 9b2 = 8

Solving
13 + -18b + 9b2 = 8

Solving for variable 'b'.

Reorder the terms:
13 + -8 + -18b + 9b2 = 8 + -8

Combine like terms: 13 + -8 = 5
5 + -18b + 9b2 = 8 + -8

Combine like terms: 8 + -8 = 0
5 + -18b + 9b2 = 0

Factor a trinomial.
(1 + -3b)(5 + -3b) = 0

Subproblem 1
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
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 = {0.3333333333, 1.666666667}