(11b+6)(5b-15)=0

Solution for (11b+6)(5b-15)=0 equation:

Simplifying
(11b + 6)(5b + -15) = 0

Reorder the terms:
(6 + 11b)(5b + -15) = 0

Reorder the terms:
(6 + 11b)(-15 + 5b) = 0

Multiply (6 + 11b) * (-15 + 5b)
(6(-15 + 5b) + 11b * (-15 + 5b)) = 0
((-15 * 6 + 5b * 6) + 11b * (-15 + 5b)) = 0
((-90 + 30b) + 11b * (-15 + 5b)) = 0
(-90 + 30b + (-15 * 11b + 5b * 11b)) = 0
(-90 + 30b + (-165b + 55b2)) = 0

Combine like terms: 30b + -165b = -135b
(-90 + -135b + 55b2) = 0

Solving
-90 + -135b + 55b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-18 + -27b + 11b2) = 0

Factor a trinomial.
5((-6 + -11b)(3 + -1b)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-6 + -11b)' equal to zero and attempt to solve:

Simplifying
-6 + -11b = 0

Solving
-6 + -11b = 0

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

Add '6' to each side of the equation.
-6 + 6 + -11b = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -11b = 0 + 6
-11b = 0 + 6

Combine like terms: 0 + 6 = 6
-11b = 6

Divide each side by '-11'.
b = -0.5454545455

Simplifying
b = -0.5454545455
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 = {-0.5454545455, 3}