p^2+3=-4p

Solution for p^2+3=-4p equation:

Simplifying
p2 + 3 = -4p

Reorder the terms:
3 + p2 = -4p

Solving
3 + p2 = -4p

Solving for variable 'p'.

Reorder the terms:
3 + 4p + p2 = -4p + 4p

Combine like terms: -4p + 4p = 0
3 + 4p + p2 = 0

Factor a trinomial.
(3 + p)(1 + p) = 0

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

Simplifying
3 + p = 0

Solving
3 + p = 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 + p = 0 + -3

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

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

Simplifying
p = -3
Subproblem 2
Set the factor '(1 + p)' equal to zero and attempt to solve:

Simplifying
1 + p = 0

Solving
1 + p = 0

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

Add '-1' to each side of the equation.
1 + -1 + p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + p = 0 + -1
p = 0 + -1

Combine like terms: 0 + -1 = -1
p = -1

Simplifying
p = -1
Solution
p = {-3, -1}