2p^2-6p+7=0

Solution for 2p^2-6p+7=0 equation:

Simplifying
2p2 + -6p + 7 = 0

Reorder the terms:
7 + -6p + 2p2 = 0

Solving
7 + -6p + 2p2 = 0

Solving for variable 'p'.

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

Divide each side by '2'.
3.5 + -3p + p2 = 0

Move the constant term to the right:

Add '-3.5' to each side of the equation.
3.5 + -3p + -3.5 + p2 = 0 + -3.5

Reorder the terms:
3.5 + -3.5 + -3p + p2 = 0 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + -3p + p2 = 0 + -3.5
-3p + p2 = 0 + -3.5

Combine like terms: 0 + -3.5 = -3.5
-3p + p2 = -3.5

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 = -3.5 + 2.25

Reorder the terms:
2.25 + -3p + p2 = -3.5 + 2.25

Combine like terms: -3.5 + 2.25 = -1.25
2.25 + -3p + p2 = -1.25

Factor a perfect square on the left side:
(p + -1.5)(p + -1.5) = -1.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.