-5p^2+p=3

Solution for -5p^2+p=3 equation:

Simplifying
-5p2 + p = 3

Reorder the terms:
p + -5p2 = 3

Solving
p + -5p2 = 3

Solving for variable 'p'.

Reorder the terms:
-3 + p + -5p2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + p + -5p2 = 0

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
0.6 + -0.2p + p2 = 0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + -0.2p + -0.6 + p2 = 0 + -0.6

Reorder the terms:
0.6 + -0.6 + -0.2p + p2 = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -0.2p + p2 = 0 + -0.6
-0.2p + p2 = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
-0.2p + p2 = -0.6

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.
-0.2p + 0.25 + p2 = -0.6 + 0.25

Reorder the terms:
0.25 + -0.2p + p2 = -0.6 + 0.25

Combine like terms: -0.6 + 0.25 = -0.35
0.25 + -0.2p + p2 = -0.35

Factor a perfect square on the left side:
(p + 0.5)(p + 0.5) = -0.35

Can't calculate square root of the right side.

The solution to this equation could not be determined.