30p^2+78p+36=0

Solution for 30p^2+78p+36=0 equation:

Simplifying
30p2 + 78p + 36 = 0

Reorder the terms:
36 + 78p + 30p2 = 0

Solving
36 + 78p + 30p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '6'.
6(6 + 13p + 5p2) = 0

Factor a trinomial.
6((2 + p)(3 + 5p)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(2 + p)' equal to zero and attempt to solve:

Simplifying
2 + p = 0

Solving
2 + p = 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 + p = 0 + -2

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

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

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

Simplifying
3 + 5p = 0

Solving
3 + 5p = 0

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

Add '-3' to each side of the equation.
3 + -3 + 5p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5p = 0 + -3
5p = 0 + -3

Combine like terms: 0 + -3 = -3
5p = -3

Divide each side by '5'.
p = -0.6

Simplifying
p = -0.6
Solution
p = {-2, -0.6}