27p^2+54p+24=

Solution for 27p^2+54p+24= equation:

Simplifying
27p2 + 54p + 24 = 0

Reorder the terms:
24 + 54p + 27p2 = 0

Solving
24 + 54p + 27p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '3'.
3(8 + 18p + 9p2) = 0

Factor a trinomial.
3((4 + 3p)(2 + 3p)) = 0

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

Simplifying
4 + 3p = 0

Solving
4 + 3p = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3p = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3p = 0 + -4
3p = 0 + -4

Combine like terms: 0 + -4 = -4
3p = -4

Divide each side by '3'.
p = -1.333333333

Simplifying
p = -1.333333333
Subproblem 2
Set the factor '(2 + 3p)' equal to zero and attempt to solve:

Simplifying
2 + 3p = 0

Solving
2 + 3p = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3p = 0 + -2
3p = 0 + -2

Combine like terms: 0 + -2 = -2
3p = -2

Divide each side by '3'.
p = -0.6666666667

Simplifying
p = -0.6666666667
Solution
p = {-1.333333333, -0.6666666667}