10p^2-4p+2=0

Solution for 10p^2-4p+2=0 equation:

Simplifying
10p2 + -4p + 2 = 0

Reorder the terms:
2 + -4p + 10p2 = 0

Solving
2 + -4p + 10p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -2p + 5p2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(1 + -2p + 5p2)' equal to zero and attempt to solve:

Simplifying
1 + -2p + 5p2 = 0

Solving
1 + -2p + 5p2 = 0

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

Divide each side by '5'.
0.2 + -0.4p + p2 = 0

Move the constant term to the right:

Add '-0.2' to each side of the equation.
0.2 + -0.4p + -0.2 + p2 = 0 + -0.2

Reorder the terms:
0.2 + -0.2 + -0.4p + p2 = 0 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -0.4p + p2 = 0 + -0.2
-0.4p + p2 = 0 + -0.2

Combine like terms: 0 + -0.2 = -0.2
-0.4p + p2 = -0.2

The p term is -0.4p.  Take half its coefficient (-0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
-0.4p + 0.04 + p2 = -0.2 + 0.04

Reorder the terms:
0.04 + -0.4p + p2 = -0.2 + 0.04

Combine like terms: -0.2 + 0.04 = -0.16
0.04 + -0.4p + p2 = -0.16

Factor a perfect square on the left side:
(p + -0.2)(p + -0.2) = -0.16

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.