15b^2=48+48b

Solution for 15b^2=48+48b equation:

Simplifying
15b2 = 48 + 48b

Solving
15b2 = 48 + 48b

Solving for variable 'b'.

Reorder the terms:
-48 + -48b + 15b2 = 48 + 48b + -48 + -48b

Reorder the terms:
-48 + -48b + 15b2 = 48 + -48 + 48b + -48b

Combine like terms: 48 + -48 = 0
-48 + -48b + 15b2 = 0 + 48b + -48b
-48 + -48b + 15b2 = 48b + -48b

Combine like terms: 48b + -48b = 0
-48 + -48b + 15b2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-16 + -16b + 5b2) = 0

Factor a trinomial.
3((-4 + -5b)(4 + -1b)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-4 + -5b)' equal to zero and attempt to solve:

Simplifying
-4 + -5b = 0

Solving
-4 + -5b = 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 + -5b = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5b = 0 + 4
-5b = 0 + 4

Combine like terms: 0 + 4 = 4
-5b = 4

Divide each side by '-5'.
b = -0.8

Simplifying
b = -0.8
Subproblem 2
Set the factor '(4 + -1b)' equal to zero and attempt to solve:

Simplifying
4 + -1b = 0

Solving
4 + -1b = 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 + -1b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1b = 0 + -4
-1b = 0 + -4

Combine like terms: 0 + -4 = -4
-1b = -4

Divide each side by '-1'.
b = 4

Simplifying
b = 4
Solution
b = {-0.8, 4}