9+48b=-64b^2

Solution for 9+48b=-64b^2 equation:

Simplifying
9 + 48b = -64b2

Solving
9 + 48b = -64b2

Solving for variable 'b'.

Combine like terms: -64b2 + 64b2 = 0
9 + 48b + 64b2 = 0

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

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

Simplifying
3 + 8b = 0

Solving
3 + 8b = 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 + 8b = 0 + -3

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

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

Divide each side by '8'.
b = -0.375

Simplifying
b = -0.375
Subproblem 2
Set the factor '(3 + 8b)' equal to zero and attempt to solve:

Simplifying
3 + 8b = 0

Solving
3 + 8b = 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 + 8b = 0 + -3

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

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

Divide each side by '8'.
b = -0.375

Simplifying
b = -0.375
Solution
b = {-0.375, -0.375}