2p^2+2p-11=-24

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Solution for 2p^2+2p-11=-24 equation:


Simplifying
2p2 + 2p + -11 = -24

Reorder the terms:
-11 + 2p + 2p2 = -24

Solving
-11 + 2p + 2p2 = -24

Solving for variable 'p'.

Reorder the terms:
-11 + 24 + 2p + 2p2 = -24 + 24

Combine like terms: -11 + 24 = 13
13 + 2p + 2p2 = -24 + 24

Combine like terms: -24 + 24 = 0
13 + 2p + 2p2 = 0

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

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

Move the constant term to the right:

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

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

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

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

The p term is p.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + p2 = -6.5 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + p2 = -6.5 + 0.25

Combine like terms: -6.5 + 0.25 = -6.25
1.25 + p2 = -6.25

Factor a perfect square on the left side:
(p + 0.5)(p + 0.5) = -6.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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