p^2-4p-1=-5

Solution for p^2-4p-1=-5 equation:

Simplifying
p2 + -4p + -1 = -5

Reorder the terms:
-1 + -4p + p2 = -5

Solving
-1 + -4p + p2 = -5

Solving for variable 'p'.

Reorder the terms:
-1 + 5 + -4p + p2 = -5 + 5

Combine like terms: -1 + 5 = 4
4 + -4p + p2 = -5 + 5

Combine like terms: -5 + 5 = 0
4 + -4p + p2 = 0

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

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

Simplifying
2 + -1p = 0

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

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

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

Divide each side by '-1'.
p = 2

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

Simplifying
2 + -1p = 0

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

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

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

Divide each side by '-1'.
p = 2

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