5p^2-6p+6=0

Solution for 5p^2-6p+6=0 equation:

Simplifying
5p2 + -6p + 6 = 0

Reorder the terms:
6 + -6p + 5p2 = 0

Solving
6 + -6p + 5p2 = 0

Solving for variable 'p'.

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

Divide each side by '5'.
1.2 + -1.2p + p2 = 0

Move the constant term to the right:

Add '-1.2' to each side of the equation.
1.2 + -1.2p + -1.2 + p2 = 0 + -1.2

Reorder the terms:
1.2 + -1.2 + -1.2p + p2 = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -1.2p + p2 = 0 + -1.2
-1.2p + p2 = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
-1.2p + p2 = -1.2

The p term is -1.2p.  Take half its coefficient (-0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
-1.2p + 0.36 + p2 = -1.2 + 0.36

Reorder the terms:
0.36 + -1.2p + p2 = -1.2 + 0.36

Combine like terms: -1.2 + 0.36 = -0.84
0.36 + -1.2p + p2 = -0.84

Factor a perfect square on the left side:
(p + -0.6)(p + -0.6) = -0.84

Can't calculate square root of the right side.

The solution to this equation could not be determined.