5b^2+24b+27=0

Solution for 5b^2+24b+27=0 equation:

Simplifying
5b2 + 24b + 27 = 0

Reorder the terms:
27 + 24b + 5b2 = 0

Solving
27 + 24b + 5b2 = 0

Solving for variable 'b'.

Factor a trinomial.
(3 + b)(9 + 5b) = 0

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

Simplifying
3 + b = 0

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

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

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

Simplifying
b = -3
Subproblem 2
Set the factor '(9 + 5b)' equal to zero and attempt to solve:

Simplifying
9 + 5b = 0

Solving
9 + 5b = 0

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

Add '-9' to each side of the equation.
9 + -9 + 5b = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 5b = 0 + -9
5b = 0 + -9

Combine like terms: 0 + -9 = -9
5b = -9

Divide each side by '5'.
b = -1.8

Simplifying
b = -1.8
Solution
b = {-3, -1.8}