7p^2-2p+15=0

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Solution for 7p^2-2p+15=0 equation:


Simplifying
7p2 + -2p + 15 = 0

Reorder the terms:
15 + -2p + 7p2 = 0

Solving
15 + -2p + 7p2 = 0

Solving for variable 'p'.

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

Divide each side by '7'.
2.142857143 + -0.2857142857p + p2 = 0

Move the constant term to the right:

Add '-2.142857143' to each side of the equation.
2.142857143 + -0.2857142857p + -2.142857143 + p2 = 0 + -2.142857143

Reorder the terms:
2.142857143 + -2.142857143 + -0.2857142857p + p2 = 0 + -2.142857143

Combine like terms: 2.142857143 + -2.142857143 = 0.000000000
0.000000000 + -0.2857142857p + p2 = 0 + -2.142857143
-0.2857142857p + p2 = 0 + -2.142857143

Combine like terms: 0 + -2.142857143 = -2.142857143
-0.2857142857p + p2 = -2.142857143

The p term is -0.2857142857p.  Take half its coefficient (-0.1428571429).
Square it (0.02040816328) and add it to both sides.

Add '0.02040816328' to each side of the equation.
-0.2857142857p + 0.02040816328 + p2 = -2.142857143 + 0.02040816328

Reorder the terms:
0.02040816328 + -0.2857142857p + p2 = -2.142857143 + 0.02040816328

Combine like terms: -2.142857143 + 0.02040816328 = -2.12244897972
0.02040816328 + -0.2857142857p + p2 = -2.12244897972

Factor a perfect square on the left side:
(p + -0.1428571429)(p + -0.1428571429) = -2.12244897972

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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