15p^2+80=-8p

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Solution for 15p^2+80=-8p equation: 


Simplifying
15p2 + 80 = -8p

Reorder the terms:
80 + 15p2 = -8p

Solving
80 + 15p2 = -8p

Solving for variable 'p'.

Reorder the terms:
80 + 8p + 15p2 = -8p + 8p

Combine like terms: -8p + 8p = 0
80 + 8p + 15p2 = 0

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

Divide each side by '15'.
5.333333333 + 0.5333333333p + p2 = 0

Move the constant term to the right:

Add '-5.333333333' to each side of the equation.
5.333333333 + 0.5333333333p + -5.333333333 + p2 = 0 + -5.333333333

Reorder the terms:
5.333333333 + -5.333333333 + 0.5333333333p + p2 = 0 + -5.333333333

Combine like terms: 5.333333333 + -5.333333333 = 0.000000000
0.000000000 + 0.5333333333p + p2 = 0 + -5.333333333
0.5333333333p + p2 = 0 + -5.333333333

Combine like terms: 0 + -5.333333333 = -5.333333333
0.5333333333p + p2 = -5.333333333

The p term is 0.5333333333p.  Take half its coefficient (0.2666666667).
Square it (0.07111111113) and add it to both sides.

Add '0.07111111113' to each side of the equation.
0.5333333333p + 0.07111111113 + p2 = -5.333333333 + 0.07111111113

Reorder the terms:
0.07111111113 + 0.5333333333p + p2 = -5.333333333 + 0.07111111113

Combine like terms: -5.333333333 + 0.07111111113 = -5.26222222187
0.07111111113 + 0.5333333333p + p2 = -5.26222222187

Factor a perfect square on the left side:
(p + 0.2666666667)(p + 0.2666666667) = -5.26222222187

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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