2b^2-9b-45=0

Solution for 2b^2-9b-45=0 equation:

Simplifying
2b2 + -9b + -45 = 0

Reorder the terms:
-45 + -9b + 2b2 = 0

Solving
-45 + -9b + 2b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-3 + -1b)(15 + -2b) = 0

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

Simplifying
-3 + -1b = 0

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

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

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

Divide each side by '-1'.
b = -3

Simplifying
b = -3
Subproblem 2
Set the factor '(15 + -2b)' equal to zero and attempt to solve:

Simplifying
15 + -2b = 0

Solving
15 + -2b = 0

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

Add '-15' to each side of the equation.
15 + -15 + -2b = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -2b = 0 + -15
-2b = 0 + -15

Combine like terms: 0 + -15 = -15
-2b = -15

Divide each side by '-2'.
b = 7.5

Simplifying
b = 7.5
Solution
b = {-3, 7.5}