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

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

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

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

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

Multiply (-5 + 6b) * (5 + 11b)
(-5(5 + 11b) + 6b * (5 + 11b)) = 0
((5 * -5 + 11b * -5) + 6b * (5 + 11b)) = 0
((-25 + -55b) + 6b * (5 + 11b)) = 0
(-25 + -55b + (5 * 6b + 11b * 6b)) = 0
(-25 + -55b + (30b + 66b2)) = 0

Combine like terms: -55b + 30b = -25b
(-25 + -25b + 66b2) = 0

Solving
-25 + -25b + 66b2 = 0

Solving for variable 'b'.

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

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

Simplifying
-5 + -11b = 0

Solving
-5 + -11b = 0

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

Add '5' to each side of the equation.
-5 + 5 + -11b = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -11b = 0 + 5
-11b = 0 + 5

Combine like terms: 0 + 5 = 5
-11b = 5

Divide each side by '-11'.
b = -0.4545454545

Simplifying
b = -0.4545454545
Subproblem 2
Set the factor '(5 + -6b)' equal to zero and attempt to solve:

Simplifying
5 + -6b = 0

Solving
5 + -6b = 0

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

Add '-5' to each side of the equation.
5 + -5 + -6b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6b = 0 + -5
-6b = 0 + -5

Combine like terms: 0 + -5 = -5
-6b = -5

Divide each side by '-6'.
b = 0.8333333333

Simplifying
b = 0.8333333333
Solution
b = {-0.4545454545, 0.8333333333}