(3b-3)(7b-8)=

Solution for (3b-3)(7b-8)= equation:

Simplifying
(3b + -3)(7b + -8) = 0

Reorder the terms:
(-3 + 3b)(7b + -8) = 0

Reorder the terms:
(-3 + 3b)(-8 + 7b) = 0

Multiply (-3 + 3b) * (-8 + 7b)
(-3(-8 + 7b) + 3b * (-8 + 7b)) = 0
((-8 * -3 + 7b * -3) + 3b * (-8 + 7b)) = 0
((24 + -21b) + 3b * (-8 + 7b)) = 0
(24 + -21b + (-8 * 3b + 7b * 3b)) = 0
(24 + -21b + (-24b + 21b2)) = 0

Combine like terms: -21b + -24b = -45b
(24 + -45b + 21b2) = 0

Solving
24 + -45b + 21b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '3'.
3(8 + -15b + 7b2) = 0

Factor a trinomial.
3((1 + -1b)(8 + -7b)) = 0

Ignore the factor 3.
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 '(8 + -7b)' equal to zero and attempt to solve:

Simplifying
8 + -7b = 0

Solving
8 + -7b = 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 + -7b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7b = 0 + -8
-7b = 0 + -8

Combine like terms: 0 + -8 = -8
-7b = -8

Divide each side by '-7'.
b = 1.142857143

Simplifying
b = 1.142857143
Solution
b = {1, 1.142857143}