5p^2+3p=-1

Solution for 5p^2+3p=-1 equation:

Simplifying
5p2 + 3p = -1

Reorder the terms:
3p + 5p2 = -1

Solving
3p + 5p2 = -1

Solving for variable 'p'.

Reorder the terms:
1 + 3p + 5p2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + 3p + 5p2 = 0

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

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

Move the constant term to the right:

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

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

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

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

The p term is 0.6p.  Take half its coefficient (0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
0.6p + 0.09 + p2 = -0.2 + 0.09

Reorder the terms:
0.09 + 0.6p + p2 = -0.2 + 0.09

Combine like terms: -0.2 + 0.09 = -0.11
0.09 + 0.6p + p2 = -0.11

Factor a perfect square on the left side:
(p + 0.3)(p + 0.3) = -0.11

Can't calculate square root of the right side.

The solution to this equation could not be determined.