b(3b-8)=-5

Solution for b(3b-8)=-5 equation:

Simplifying
b(3b + -8) = -5

Reorder the terms:
b(-8 + 3b) = -5
(-8 * b + 3b * b) = -5
(-8b + 3b2) = -5

Solving
-8b + 3b2 = -5

Solving for variable 'b'.

Reorder the terms:
5 + -8b + 3b2 = -5 + 5

Combine like terms: -5 + 5 = 0
5 + -8b + 3b2 = 0

Factor a trinomial.
(1 + -1b)(5 + -3b) = 0

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 '(5 + -3b)' equal to zero and attempt to solve:

Simplifying
5 + -3b = 0

Solving
5 + -3b = 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 + -3b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3b = 0 + -5
-3b = 0 + -5

Combine like terms: 0 + -5 = -5
-3b = -5

Divide each side by '-3'.
b = 1.666666667

Simplifying
b = 1.666666667
Solution
b = {1, 1.666666667}