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

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

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

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

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

Multiply (-6 + 3b) * (3 + 6b)
(-6(3 + 6b) + 3b * (3 + 6b)) = 0
((3 * -6 + 6b * -6) + 3b * (3 + 6b)) = 0
((-18 + -36b) + 3b * (3 + 6b)) = 0
(-18 + -36b + (3 * 3b + 6b * 3b)) = 0
(-18 + -36b + (9b + 18b2)) = 0

Combine like terms: -36b + 9b = -27b
(-18 + -27b + 18b2) = 0

Solving
-18 + -27b + 18b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '9'.
9(-2 + -3b + 2b2) = 0

Factor a trinomial.
9((-1 + -2b)(2 + -1b)) = 0

Ignore the factor 9.
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 '(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
Solution
b = {-0.5, 2}