(3b-2)(5b+6)=

Solution for (3b-2)(5b+6)= equation:

Simplifying
(3b + -2)(5b + 6) = 0

Reorder the terms:
(-2 + 3b)(5b + 6) = 0

Reorder the terms:
(-2 + 3b)(6 + 5b) = 0

Multiply (-2 + 3b) * (6 + 5b)
(-2(6 + 5b) + 3b * (6 + 5b)) = 0
((6 * -2 + 5b * -2) + 3b * (6 + 5b)) = 0
((-12 + -10b) + 3b * (6 + 5b)) = 0
(-12 + -10b + (6 * 3b + 5b * 3b)) = 0
(-12 + -10b + (18b + 15b2)) = 0

Combine like terms: -10b + 18b = 8b
(-12 + 8b + 15b2) = 0

Solving
-12 + 8b + 15b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-6 + -5b)(2 + -3b) = 0

Subproblem 1
Set the factor '(-6 + -5b)' equal to zero and attempt to solve:

Simplifying
-6 + -5b = 0

Solving
-6 + -5b = 0

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

Add '6' to each side of the equation.
-6 + 6 + -5b = 0 + 6

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

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

Divide each side by '-5'.
b = -1.2

Simplifying
b = -1.2
Subproblem 2
Set the factor '(2 + -3b)' equal to zero and attempt to solve:

Simplifying
2 + -3b = 0

Solving
2 + -3b = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3b = 0 + -2

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

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

Divide each side by '-3'.
b = 0.6666666667

Simplifying
b = 0.6666666667
Solution
b = {-1.2, 0.6666666667}