2p^2-3p+6=3

Solution for 2p^2-3p+6=3 equation:

Simplifying
2p2 + -3p + 6 = 3

Reorder the terms:
6 + -3p + 2p2 = 3

Solving
6 + -3p + 2p2 = 3

Solving for variable 'p'.

Reorder the terms:
6 + -3 + -3p + 2p2 = 3 + -3

Combine like terms: 6 + -3 = 3
3 + -3p + 2p2 = 3 + -3

Combine like terms: 3 + -3 = 0
3 + -3p + 2p2 = 0

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

Divide each side by '2'.
1.5 + -1.5p + p2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -1.5p + -1.5 + p2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -1.5p + p2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -1.5p + p2 = 0 + -1.5
-1.5p + p2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-1.5p + p2 = -1.5

The p term is -1.5p.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5p + 0.5625 + p2 = -1.5 + 0.5625

Reorder the terms:
0.5625 + -1.5p + p2 = -1.5 + 0.5625

Combine like terms: -1.5 + 0.5625 = -0.9375
0.5625 + -1.5p + p2 = -0.9375

Factor a perfect square on the left side:
(p + -0.75)(p + -0.75) = -0.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.