-9b^2+15b-4=0

Solution for -9b^2+15b-4=0 equation:

Simplifying
-9b2 + 15b + -4 = 0

Reorder the terms:
-4 + 15b + -9b2 = 0

Solving
-4 + 15b + -9b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-4 + 3b)(1 + -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 '(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 = {1.333333333, 0.3333333333}