2p^2=-20p-48

Solution for 2p^2=-20p-48 equation:

Simplifying
2p2 = -20p + -48

Reorder the terms:
2p2 = -48 + -20p

Solving
2p2 = -48 + -20p

Solving for variable 'p'.

Reorder the terms:
48 + 20p + 2p2 = -48 + -20p + 48 + 20p

Reorder the terms:
48 + 20p + 2p2 = -48 + 48 + -20p + 20p

Combine like terms: -48 + 48 = 0
48 + 20p + 2p2 = 0 + -20p + 20p
48 + 20p + 2p2 = -20p + 20p

Combine like terms: -20p + 20p = 0
48 + 20p + 2p2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(24 + 10p + p2) = 0

Factor a trinomial.
2((6 + p)(4 + p)) = 0

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

Simplifying
6 + p = 0

Solving
6 + p = 0

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

Add '-6' to each side of the equation.
6 + -6 + p = 0 + -6

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

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

Simplifying
p = -6
Subproblem 2
Set the factor '(4 + p)' equal to zero and attempt to solve:

Simplifying
4 + p = 0

Solving
4 + p = 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 + p = 0 + -4

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

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

Simplifying
p = -4
Solution
p = {-6, -4}