54b^2+372b+288=0

Solution for 54b^2+372b+288=0 equation:

Simplifying
54b2 + 372b + 288 = 0

Reorder the terms:
288 + 372b + 54b2 = 0

Solving
288 + 372b + 54b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '6'.
6(48 + 62b + 9b2) = 0

Factor a trinomial.
6((6 + b)(8 + 9b)) = 0

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

Simplifying
6 + b = 0

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

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

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

Simplifying
b = -6
Subproblem 2
Set the factor '(8 + 9b)' equal to zero and attempt to solve:

Simplifying
8 + 9b = 0

Solving
8 + 9b = 0

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

Add '-8' to each side of the equation.
8 + -8 + 9b = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 9b = 0 + -8
9b = 0 + -8

Combine like terms: 0 + -8 = -8
9b = -8

Divide each side by '9'.
b = -0.8888888889

Simplifying
b = -0.8888888889
Solution
b = {-6, -0.8888888889}