8b^2+72=48b

Solution for 8b^2+72=48b equation:

Simplifying
8b2 + 72 = 48b

Reorder the terms:
72 + 8b2 = 48b

Solving
72 + 8b2 = 48b

Solving for variable 'b'.

Reorder the terms:
72 + -48b + 8b2 = 48b + -48b

Combine like terms: 48b + -48b = 0
72 + -48b + 8b2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(9 + -6b + b2) = 0

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

Ignore the factor 8.
Subproblem 1
Set the factor '(3 + -1b)' equal to zero and attempt to solve:

Simplifying
3 + -1b = 0

Solving
3 + -1b = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1b = 0 + -3
-1b = 0 + -3

Combine like terms: 0 + -3 = -3
-1b = -3

Divide each side by '-1'.
b = 3

Simplifying
b = 3
Subproblem 2
Set the factor '(3 + -1b)' equal to zero and attempt to solve:

Simplifying
3 + -1b = 0

Solving
3 + -1b = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1b = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1b = 0 + -3
-1b = 0 + -3

Combine like terms: 0 + -3 = -3
-1b = -3

Divide each side by '-1'.
b = 3

Simplifying
b = 3
Solution
b = {3, 3}