(6b+3)(6b-8)=

Solution for (6b+3)(6b-8)= equation:

Simplifying
(6b + 3)(6b + -8) = 0

Reorder the terms:
(3 + 6b)(6b + -8) = 0

Reorder the terms:
(3 + 6b)(-8 + 6b) = 0

Multiply (3 + 6b) * (-8 + 6b)
(3(-8 + 6b) + 6b * (-8 + 6b)) = 0
((-8 * 3 + 6b * 3) + 6b * (-8 + 6b)) = 0
((-24 + 18b) + 6b * (-8 + 6b)) = 0
(-24 + 18b + (-8 * 6b + 6b * 6b)) = 0
(-24 + 18b + (-48b + 36b2)) = 0

Combine like terms: 18b + -48b = -30b
(-24 + -30b + 36b2) = 0

Solving
-24 + -30b + 36b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-4 + -5b + 6b2) = 0

Factor a trinomial.
6((-1 + -2b)(4 + -3b)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(-1 + -2b)' equal to zero and attempt to solve:

Simplifying
-1 + -2b = 0

Solving
-1 + -2b = 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 + -2b = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2b = 0 + 1
-2b = 0 + 1

Combine like terms: 0 + 1 = 1
-2b = 1

Divide each side by '-2'.
b = -0.5

Simplifying
b = -0.5
Subproblem 2
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
Solution
b = {-0.5, 1.333333333}