(11b+8)(3b-9)=0

Solution for (11b+8)(3b-9)=0 equation:

Simplifying
(11b + 8)(3b + -9) = 0

Reorder the terms:
(8 + 11b)(3b + -9) = 0

Reorder the terms:
(8 + 11b)(-9 + 3b) = 0

Multiply (8 + 11b) * (-9 + 3b)
(8(-9 + 3b) + 11b * (-9 + 3b)) = 0
((-9 * 8 + 3b * 8) + 11b * (-9 + 3b)) = 0
((-72 + 24b) + 11b * (-9 + 3b)) = 0
(-72 + 24b + (-9 * 11b + 3b * 11b)) = 0
(-72 + 24b + (-99b + 33b2)) = 0

Combine like terms: 24b + -99b = -75b
(-72 + -75b + 33b2) = 0

Solving
-72 + -75b + 33b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-24 + -25b + 11b2) = 0

Factor a trinomial.
3((-8 + -11b)(3 + -1b)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-8 + -11b)' equal to zero and attempt to solve:

Simplifying
-8 + -11b = 0

Solving
-8 + -11b = 0

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

Add '8' to each side of the equation.
-8 + 8 + -11b = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -11b = 0 + 8
-11b = 0 + 8

Combine like terms: 0 + 8 = 8
-11b = 8

Divide each side by '-11'.
b = -0.7272727273

Simplifying
b = -0.7272727273
Subproblem 2
Set the factor '(3 + -1b)' equal to zero and attempt to solve:

Simplifying
3 + -1b = 0

Solving
3 + -1b = 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 + -1b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1b = 0 + -3
-1b = 0 + -3

Combine like terms: 0 + -3 = -3
-1b = -3

Divide each side by '-1'.
b = 3

Simplifying
b = 3
Solution
b = {-0.7272727273, 3}