p^2+10=p

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Solution for p^2+10=p equation:


Simplifying
p2 + 10 = p

Reorder the terms:
10 + p2 = p

Solving
10 + p2 = p

Solving for variable 'p'.

Reorder the terms:
10 + -1p + p2 = p + -1p

Combine like terms: p + -1p = 0
10 + -1p + p2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -1p + -10 + p2 = 0 + -10

Reorder the terms:
10 + -10 + -1p + p2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1p + p2 = 0 + -10
-1p + p2 = 0 + -10

Combine like terms: 0 + -10 = -10
-1p + p2 = -10

The p term is -1p.  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 = -10 + 0.25

Reorder the terms:
0.25 + -1p + p2 = -10 + 0.25

Combine like terms: -10 + 0.25 = -9.75
0.25 + -1p + p2 = -9.75

Factor a perfect square on the left side:
(p + -0.5)(p + -0.5) = -9.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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