-p^2+12p-42=0

Solution for -p^2+12p-42=0 equation:

Simplifying
-1p2 + 12p + -42 = 0

Reorder the terms:
-42 + 12p + -1p2 = 0

Solving
-42 + 12p + -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'.
42 + -12p + p2 = 0

Move the constant term to the right:

Add '-42' to each side of the equation.
42 + -12p + -42 + p2 = 0 + -42

Reorder the terms:
42 + -42 + -12p + p2 = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -12p + p2 = 0 + -42
-12p + p2 = 0 + -42

Combine like terms: 0 + -42 = -42
-12p + p2 = -42

The p term is -12p.  Take half its coefficient (-6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
-12p + 36 + p2 = -42 + 36

Reorder the terms:
36 + -12p + p2 = -42 + 36

Combine like terms: -42 + 36 = -6
36 + -12p + p2 = -6

Factor a perfect square on the left side:
(p + -6)(p + -6) = -6

Can't calculate square root of the right side.

The solution to this equation could not be determined.