p^2=8p-33

Solution for p^2=8p-33 equation:

Simplifying
p2 = 8p + -33

Reorder the terms:
p2 = -33 + 8p

Solving
p2 = -33 + 8p

Solving for variable 'p'.

Reorder the terms:
33 + -8p + p2 = -33 + 8p + 33 + -8p

Reorder the terms:
33 + -8p + p2 = -33 + 33 + 8p + -8p

Combine like terms: -33 + 33 = 0
33 + -8p + p2 = 0 + 8p + -8p
33 + -8p + p2 = 8p + -8p

Combine like terms: 8p + -8p = 0
33 + -8p + p2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-33' to each side of the equation.
33 + -8p + -33 + p2 = 0 + -33

Reorder the terms:
33 + -33 + -8p + p2 = 0 + -33

Combine like terms: 33 + -33 = 0
0 + -8p + p2 = 0 + -33
-8p + p2 = 0 + -33

Combine like terms: 0 + -33 = -33
-8p + p2 = -33

The p term is -8p.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8p + 16 + p2 = -33 + 16

Reorder the terms:
16 + -8p + p2 = -33 + 16

Combine like terms: -33 + 16 = -17
16 + -8p + p2 = -17

Factor a perfect square on the left side:
(p + -4)(p + -4) = -17

Can't calculate square root of the right side.

The solution to this equation could not be determined.