p^2-12p+76=0

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Solution for p^2-12p+76=0 equation:


Simplifying
p2 + -12p + 76 = 0

Reorder the terms:
76 + -12p + p2 = 0

Solving
76 + -12p + p2 = 0

Solving for variable 'p'.

Begin completing the square.

Move the constant term to the right:

Add '-76' to each side of the equation.
76 + -12p + -76 + p2 = 0 + -76

Reorder the terms:
76 + -76 + -12p + p2 = 0 + -76

Combine like terms: 76 + -76 = 0
0 + -12p + p2 = 0 + -76
-12p + p2 = 0 + -76

Combine like terms: 0 + -76 = -76
-12p + p2 = -76

The p term is -12p.  Take half its coefficient (-6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
-12p + 36 + p2 = -76 + 36

Reorder the terms:
36 + -12p + p2 = -76 + 36

Combine like terms: -76 + 36 = -40
36 + -12p + p2 = -40

Factor a perfect square on the left side:
(p + -6)(p + -6) = -40

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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