2p^2-8p+7=-6

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Solution for 2p^2-8p+7=-6 equation:


Simplifying
2p2 + -8p + 7 = -6

Reorder the terms:
7 + -8p + 2p2 = -6

Solving
7 + -8p + 2p2 = -6

Solving for variable 'p'.

Reorder the terms:
7 + 6 + -8p + 2p2 = -6 + 6

Combine like terms: 7 + 6 = 13
13 + -8p + 2p2 = -6 + 6

Combine like terms: -6 + 6 = 0
13 + -8p + 2p2 = 0

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

Divide each side by '2'.
6.5 + -4p + p2 = 0

Move the constant term to the right:

Add '-6.5' to each side of the equation.
6.5 + -4p + -6.5 + p2 = 0 + -6.5

Reorder the terms:
6.5 + -6.5 + -4p + p2 = 0 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + -4p + p2 = 0 + -6.5
-4p + p2 = 0 + -6.5

Combine like terms: 0 + -6.5 = -6.5
-4p + p2 = -6.5

The p term is -4p.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4p + 4 + p2 = -6.5 + 4

Reorder the terms:
4 + -4p + p2 = -6.5 + 4

Combine like terms: -6.5 + 4 = -2.5
4 + -4p + p2 = -2.5

Factor a perfect square on the left side:
(p + -2)(p + -2) = -2.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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