2p^2+6p=-9

Solution for 2p^2+6p=-9 equation:

Simplifying
2p2 + 6p = -9

Reorder the terms:
6p + 2p2 = -9

Solving
6p + 2p2 = -9

Solving for variable 'p'.

Reorder the terms:
9 + 6p + 2p2 = -9 + 9

Combine like terms: -9 + 9 = 0
9 + 6p + 2p2 = 0

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

Divide each side by '2'.
4.5 + 3p + p2 = 0

Move the constant term to the right:

Add '-4.5' to each side of the equation.
4.5 + 3p + -4.5 + p2 = 0 + -4.5

Reorder the terms:
4.5 + -4.5 + 3p + p2 = 0 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + 3p + p2 = 0 + -4.5
3p + p2 = 0 + -4.5

Combine like terms: 0 + -4.5 = -4.5
3p + p2 = -4.5

The p term is 3p.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3p + 2.25 + p2 = -4.5 + 2.25

Reorder the terms:
2.25 + 3p + p2 = -4.5 + 2.25

Combine like terms: -4.5 + 2.25 = -2.25
2.25 + 3p + p2 = -2.25

Factor a perfect square on the left side:
(p + 1.5)(p + 1.5) = -2.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.