p^2+48=-14p

Solution for p^2+48=-14p equation:

Simplifying
p2 + 48 = -14p

Reorder the terms:
48 + p2 = -14p

Solving
48 + p2 = -14p

Solving for variable 'p'.

Reorder the terms:
48 + 14p + p2 = -14p + 14p

Combine like terms: -14p + 14p = 0
48 + 14p + p2 = 0

Factor a trinomial.
(8 + p)(6 + p) = 0

Subproblem 1
Set the factor '(8 + p)' equal to zero and attempt to solve:

Simplifying
8 + p = 0

Solving
8 + p = 0

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

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

Combine like terms: 8 + -8 = 0
0 + p = 0 + -8
p = 0 + -8

Combine like terms: 0 + -8 = -8
p = -8

Simplifying
p = -8
Subproblem 2
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
Solution
p = {-8, -6}