24b^2-20b+18b-15=0

Solution for 24b^2-20b+18b-15=0 equation:

Simplifying
24b2 + -20b + 18b + -15 = 0

Reorder the terms:
-15 + -20b + 18b + 24b2 = 0

Combine like terms: -20b + 18b = -2b
-15 + -2b + 24b2 = 0

Solving
-15 + -2b + 24b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-3 + -4b)(5 + -6b) = 0

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

Simplifying
-3 + -4b = 0

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

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

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

Divide each side by '-4'.
b = -0.75

Simplifying
b = -0.75
Subproblem 2
Set the factor '(5 + -6b)' equal to zero and attempt to solve:

Simplifying
5 + -6b = 0

Solving
5 + -6b = 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 + -6b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6b = 0 + -5
-6b = 0 + -5

Combine like terms: 0 + -5 = -5
-6b = -5

Divide each side by '-6'.
b = 0.8333333333

Simplifying
b = 0.8333333333
Solution
b = {-0.75, 0.8333333333}