(5b-6)(4-b)=

Solution for (5b-6)(4-b)= equation:

Simplifying
(5b + -6)(4 + -1b) = 0

Reorder the terms:
(-6 + 5b)(4 + -1b) = 0

Multiply (-6 + 5b) * (4 + -1b)
(-6(4 + -1b) + 5b * (4 + -1b)) = 0
((4 * -6 + -1b * -6) + 5b * (4 + -1b)) = 0
((-24 + 6b) + 5b * (4 + -1b)) = 0
(-24 + 6b + (4 * 5b + -1b * 5b)) = 0
(-24 + 6b + (20b + -5b2)) = 0

Combine like terms: 6b + 20b = 26b
(-24 + 26b + -5b2) = 0

Solving
-24 + 26b + -5b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-4 + b)(6 + -5b) = 0

Subproblem 1
Set the factor '(-4 + b)' equal to zero and attempt to solve:

Simplifying
-4 + b = 0

Solving
-4 + b = 0

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

Add '4' to each side of the equation.
-4 + 4 + b = 0 + 4

Combine like terms: -4 + 4 = 0
0 + b = 0 + 4
b = 0 + 4

Combine like terms: 0 + 4 = 4
b = 4

Simplifying
b = 4
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 = {4, 1.2}