10b^2-15b-8b+12=0

Solution for 10b^2-15b-8b+12=0 equation:

Simplifying
10b2 + -15b + -8b + 12 = 0

Reorder the terms:
12 + -15b + -8b + 10b2 = 0

Combine like terms: -15b + -8b = -23b
12 + -23b + 10b2 = 0

Solving
12 + -23b + 10b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(4 + -5b)(3 + -2b) = 0

Subproblem 1
Set the factor '(4 + -5b)' equal to zero and attempt to solve:

Simplifying
4 + -5b = 0

Solving
4 + -5b = 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 + -5b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5b = 0 + -4
-5b = 0 + -4

Combine like terms: 0 + -4 = -4
-5b = -4

Divide each side by '-5'.
b = 0.8

Simplifying
b = 0.8
Subproblem 2
Set the factor '(3 + -2b)' equal to zero and attempt to solve:

Simplifying
3 + -2b = 0

Solving
3 + -2b = 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 + -2b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2b = 0 + -3
-2b = 0 + -3

Combine like terms: 0 + -3 = -3
-2b = -3

Divide each side by '-2'.
b = 1.5

Simplifying
b = 1.5
Solution
b = {0.8, 1.5}