(-b+1)(5b-6)=

Solution for (-b+1)(5b-6)= equation:

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

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

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

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

Combine like terms: 5b + 6b = 11b
(-6 + 11b + -5b2) = 0

Solving
-6 + 11b + -5b2 = 0

Solving for variable 'b'.

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

Subproblem 1
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
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 = {1.2, 1}