p^2-9p+32=0

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Solution for p^2-9p+32=0 equation:


Simplifying
p2 + -9p + 32 = 0

Reorder the terms:
32 + -9p + p2 = 0

Solving
32 + -9p + p2 = 0

Solving for variable 'p'.

Begin completing the square.

Move the constant term to the right:

Add '-32' to each side of the equation.
32 + -9p + -32 + p2 = 0 + -32

Reorder the terms:
32 + -32 + -9p + p2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -9p + p2 = 0 + -32
-9p + p2 = 0 + -32

Combine like terms: 0 + -32 = -32
-9p + p2 = -32

The p term is -9p.  Take half its coefficient (-4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
-9p + 20.25 + p2 = -32 + 20.25

Reorder the terms:
20.25 + -9p + p2 = -32 + 20.25

Combine like terms: -32 + 20.25 = -11.75
20.25 + -9p + p2 = -11.75

Factor a perfect square on the left side:
(p + -4.5)(p + -4.5) = -11.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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