4p^2+16p+4=-3

Solution for 4p^2+16p+4=-3 equation:

Simplifying
4p2 + 16p + 4 = -3

Reorder the terms:
4 + 16p + 4p2 = -3

Solving
4 + 16p + 4p2 = -3

Solving for variable 'p'.

Reorder the terms:
4 + 3 + 16p + 4p2 = -3 + 3

Combine like terms: 4 + 3 = 7
7 + 16p + 4p2 = -3 + 3

Combine like terms: -3 + 3 = 0
7 + 16p + 4p2 = 0

Factor a trinomial.
(7 + 2p)(1 + 2p) = 0

Subproblem 1
Set the factor '(7 + 2p)' equal to zero and attempt to solve:

Simplifying
7 + 2p = 0

Solving
7 + 2p = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2p = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2p = 0 + -7
2p = 0 + -7

Combine like terms: 0 + -7 = -7
2p = -7

Divide each side by '2'.
p = -3.5

Simplifying
p = -3.5
Subproblem 2
Set the factor '(1 + 2p)' equal to zero and attempt to solve:

Simplifying
1 + 2p = 0

Solving
1 + 2p = 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 + 2p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2p = 0 + -1
2p = 0 + -1

Combine like terms: 0 + -1 = -1
2p = -1

Divide each side by '2'.
p = -0.5

Simplifying
p = -0.5
Solution
p = {-3.5, -0.5}