(5b-5)(6b-6)=

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

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

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

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

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

Combine like terms: -30b + -30b = -60b
(30 + -60b + 30b2) = 0

Solving
30 + -60b + 30b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '30'.
30(1 + -2b + b2) = 0

Factor a trinomial.
30((1 + -1b)(1 + -1b)) = 0

Ignore the factor 30.
Subproblem 1
Set the factor '(1 + -1b)' equal to zero and attempt to solve:

Simplifying
1 + -1b = 0

Solving
1 + -1b = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1b = 0 + -1

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

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

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

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

Simplifying
1 + -1b = 0

Solving
1 + -1b = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1b = 0 + -1

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

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

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

Simplifying
b = 1
Solution
b = {1, 1}