(4b+6)(9b-2)=

Solution for (4b+6)(9b-2)= equation:

Simplifying
(4b + 6)(9b + -2) = 0

Reorder the terms:
(6 + 4b)(9b + -2) = 0

Reorder the terms:
(6 + 4b)(-2 + 9b) = 0

Multiply (6 + 4b) * (-2 + 9b)
(6(-2 + 9b) + 4b * (-2 + 9b)) = 0
((-2 * 6 + 9b * 6) + 4b * (-2 + 9b)) = 0
((-12 + 54b) + 4b * (-2 + 9b)) = 0
(-12 + 54b + (-2 * 4b + 9b * 4b)) = 0
(-12 + 54b + (-8b + 36b2)) = 0

Combine like terms: 54b + -8b = 46b
(-12 + 46b + 36b2) = 0

Solving
-12 + 46b + 36b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + 23b + 18b2) = 0

Factor a trinomial.
2((-3 + -2b)(2 + -9b)) = 0

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
Set the factor '(2 + -9b)' equal to zero and attempt to solve:

Simplifying
2 + -9b = 0

Solving
2 + -9b = 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 + -9b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -9b = 0 + -2
-9b = 0 + -2

Combine like terms: 0 + -2 = -2
-9b = -2

Divide each side by '-9'.
b = 0.2222222222

Simplifying
b = 0.2222222222
Solution
b = {-1.5, 0.2222222222}