24=2b^2-8b

Solution for 24=2b^2-8b equation:

Simplifying
24 = 2b2 + -8b

Reorder the terms:
24 = -8b + 2b2

Solving
24 = -8b + 2b2

Solving for variable 'b'.

Reorder the terms:
24 + 8b + -2b2 = -8b + 8b + 2b2 + -2b2

Combine like terms: -8b + 8b = 0
24 + 8b + -2b2 = 0 + 2b2 + -2b2
24 + 8b + -2b2 = 2b2 + -2b2

Combine like terms: 2b2 + -2b2 = 0
24 + 8b + -2b2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + 4b + -1b2) = 0

Factor a trinomial.
2((6 + -1b)(2 + b)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(6 + -1b)' equal to zero and attempt to solve:

Simplifying
6 + -1b = 0

Solving
6 + -1b = 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 + -1b = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1b = 0 + -6
-1b = 0 + -6

Combine like terms: 0 + -6 = -6
-1b = -6

Divide each side by '-1'.
b = 6

Simplifying
b = 6
Subproblem 2
Set the factor '(2 + b)' equal to zero and attempt to solve:

Simplifying
2 + b = 0

Solving
2 + b = 0

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

Add '-2' to each side of the equation.
2 + -2 + b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + b = 0 + -2
b = 0 + -2

Combine like terms: 0 + -2 = -2
b = -2

Simplifying
b = -2
Solution
b = {6, -2}