p^2+4=p

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Solution for p^2+4=p equation:


Simplifying
p2 + 4 = p

Reorder the terms:
4 + p2 = p

Solving
4 + p2 = p

Solving for variable 'p'.

Reorder the terms:
4 + -1p + p2 = p + -1p

Combine like terms: p + -1p = 0
4 + -1p + p2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -1p + -4 + p2 = 0 + -4

Reorder the terms:
4 + -4 + -1p + p2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1p + p2 = 0 + -4
-1p + p2 = 0 + -4

Combine like terms: 0 + -4 = -4
-1p + p2 = -4

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 = -4 + 0.25

Reorder the terms:
0.25 + -1p + p2 = -4 + 0.25

Combine like terms: -4 + 0.25 = -3.75
0.25 + -1p + p2 = -3.75

Factor a perfect square on the left side:
(p + -0.5)(p + -0.5) = -3.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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