7-p^2+p-8=

Solution for 7-p^2+p-8= equation:

Simplifying
7 + -1p2 + p + -8 = 0

Reorder the terms:
7 + -8 + p + -1p2 = 0

Combine like terms: 7 + -8 = -1
-1 + p + -1p2 = 0

Solving
-1 + p + -1p2 = 0

Solving for variable 'p'.

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
1 + -1p + p2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1p + -1 + p2 = 0 + -1

Reorder the terms:
1 + -1 + -1p + p2 = 0 + -1

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

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

The p term is p.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1p + 0.25 + p2 = -1 + 0.25

Reorder the terms:
0.25 + -1p + p2 = -1 + 0.25

Combine like terms: -1 + 0.25 = -0.75
0.25 + -1p + p2 = -0.75

Factor a perfect square on the left side:
(p + 0.5)(p + 0.5) = -0.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.