p^2-5p+36=p+1

Solution for p^2-5p+36=p+1 equation:

Simplifying
p2 + -5p + 36 = p + 1

Reorder the terms:
36 + -5p + p2 = p + 1

Reorder the terms:
36 + -5p + p2 = 1 + p

Solving
36 + -5p + p2 = 1 + p

Solving for variable 'p'.

Reorder the terms:
36 + -1 + -5p + -1p + p2 = 1 + p + -1 + -1p

Combine like terms: 36 + -1 = 35
35 + -5p + -1p + p2 = 1 + p + -1 + -1p

Combine like terms: -5p + -1p = -6p
35 + -6p + p2 = 1 + p + -1 + -1p

Reorder the terms:
35 + -6p + p2 = 1 + -1 + p + -1p

Combine like terms: 1 + -1 = 0
35 + -6p + p2 = 0 + p + -1p
35 + -6p + p2 = p + -1p

Combine like terms: p + -1p = 0
35 + -6p + p2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-35' to each side of the equation.
35 + -6p + -35 + p2 = 0 + -35

Reorder the terms:
35 + -35 + -6p + p2 = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -6p + p2 = 0 + -35
-6p + p2 = 0 + -35

Combine like terms: 0 + -35 = -35
-6p + p2 = -35

The p term is -6p.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6p + 9 + p2 = -35 + 9

Reorder the terms:
9 + -6p + p2 = -35 + 9

Combine like terms: -35 + 9 = -26
9 + -6p + p2 = -26

Factor a perfect square on the left side:
(p + -3)(p + -3) = -26

Can't calculate square root of the right side.

The solution to this equation could not be determined.