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

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

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

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

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

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

Combine like terms: 25b + -6b = 19b
(-30 + 19b + 5b2) = 0

Solving
-30 + 19b + 5b2 = 0

Solving for variable 'b'.

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

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

Simplifying
-5 + -1b = 0

Solving
-5 + -1b = 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 + -1b = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1b = 0 + 5
-1b = 0 + 5

Combine like terms: 0 + 5 = 5
-1b = 5

Divide each side by '-1'.
b = -5

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

Simplifying
6 + -5b = 0

Solving
6 + -5b = 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 + -5b = 0 + -6

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

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

Divide each side by '-5'.
b = 1.2

Simplifying
b = 1.2
Solution
b = {-5, 1.2}