p-p^2=0.42

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Solution for p-p^2=0.42 equation:


Simplifying
p + -1p2 = 0.42

Solving
p + -1p2 = 0.42

Solving for variable 'p'.

Reorder the terms:
-0.42 + p + -1p2 = 0.42 + -0.42

Combine like terms: 0.42 + -0.42 = 0.00
-0.42 + p + -1p2 = 0.00

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

Divide each side by '-1'.
0.42 + -1p + p2 = 0.00

Move the constant term to the right:

Add '-0.42' to each side of the equation.
0.42 + -1p + -0.42 + p2 = 0.00 + -0.42

Reorder the terms:
0.42 + -0.42 + -1p + p2 = 0.00 + -0.42

Combine like terms: 0.42 + -0.42 = 0.00
0.00 + -1p + p2 = 0.00 + -0.42
-1p + p2 = 0.00 + -0.42

Combine like terms: 0.00 + -0.42 = -0.42
-1p + p2 = -0.42

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 = -0.42 + 0.25

Reorder the terms:
0.25 + -1p + p2 = -0.42 + 0.25

Combine like terms: -0.42 + 0.25 = -0.17
0.25 + -1p + p2 = -0.17

Factor a perfect square on the left side:
(p + 0.5)(p + 0.5) = -0.17

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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