(6b-4)(3b+6)=

Solution for (6b-4)(3b+6)= equation:

Simplifying
(6b + -4)(3b + 6) = 0

Reorder the terms:
(-4 + 6b)(3b + 6) = 0

Reorder the terms:
(-4 + 6b)(6 + 3b) = 0

Multiply (-4 + 6b) * (6 + 3b)
(-4(6 + 3b) + 6b * (6 + 3b)) = 0
((6 * -4 + 3b * -4) + 6b * (6 + 3b)) = 0
((-24 + -12b) + 6b * (6 + 3b)) = 0
(-24 + -12b + (6 * 6b + 3b * 6b)) = 0
(-24 + -12b + (36b + 18b2)) = 0

Combine like terms: -12b + 36b = 24b
(-24 + 24b + 18b2) = 0

Solving
-24 + 24b + 18b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-4 + 4b + 3b2) = 0

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

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

Simplifying
-2 + -1b = 0

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

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

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

Divide each side by '-1'.
b = -2

Simplifying
b = -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 = {-2, 0.6666666667}