8p^2-2p+15=0

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Solution for 8p^2-2p+15=0 equation:


Simplifying
8p2 + -2p + 15 = 0

Reorder the terms:
15 + -2p + 8p2 = 0

Solving
15 + -2p + 8p2 = 0

Solving for variable 'p'.

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

Divide each side by '8'.
1.875 + -0.25p + p2 = 0

Move the constant term to the right:

Add '-1.875' to each side of the equation.
1.875 + -0.25p + -1.875 + p2 = 0 + -1.875

Reorder the terms:
1.875 + -1.875 + -0.25p + p2 = 0 + -1.875

Combine like terms: 1.875 + -1.875 = 0.000
0.000 + -0.25p + p2 = 0 + -1.875
-0.25p + p2 = 0 + -1.875

Combine like terms: 0 + -1.875 = -1.875
-0.25p + p2 = -1.875

The p term is -0.25p.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25p + 0.015625 + p2 = -1.875 + 0.015625

Reorder the terms:
0.015625 + -0.25p + p2 = -1.875 + 0.015625

Combine like terms: -1.875 + 0.015625 = -1.859375
0.015625 + -0.25p + p2 = -1.859375

Factor a perfect square on the left side:
(p + -0.125)(p + -0.125) = -1.859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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