4p^2-20p+100=-123

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Solution for 4p^2-20p+100=-123 equation:


Simplifying
4p2 + -20p + 100 = -123

Reorder the terms:
100 + -20p + 4p2 = -123

Solving
100 + -20p + 4p2 = -123

Solving for variable 'p'.

Reorder the terms:
100 + 123 + -20p + 4p2 = -123 + 123

Combine like terms: 100 + 123 = 223
223 + -20p + 4p2 = -123 + 123

Combine like terms: -123 + 123 = 0
223 + -20p + 4p2 = 0

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

Divide each side by '4'.
55.75 + -5p + p2 = 0

Move the constant term to the right:

Add '-55.75' to each side of the equation.
55.75 + -5p + -55.75 + p2 = 0 + -55.75

Reorder the terms:
55.75 + -55.75 + -5p + p2 = 0 + -55.75

Combine like terms: 55.75 + -55.75 = 0.00
0.00 + -5p + p2 = 0 + -55.75
-5p + p2 = 0 + -55.75

Combine like terms: 0 + -55.75 = -55.75
-5p + p2 = -55.75

The p term is -5p.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5p + 6.25 + p2 = -55.75 + 6.25

Reorder the terms:
6.25 + -5p + p2 = -55.75 + 6.25

Combine like terms: -55.75 + 6.25 = -49.5
6.25 + -5p + p2 = -49.5

Factor a perfect square on the left side:
(p + -2.5)(p + -2.5) = -49.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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