P^2-10P=-61

Solution for P^2-10P=-61 equation:

Simplifying
P2 + -10P = -61

Reorder the terms:
-10P + P2 = -61

Solving
-10P + P2 = -61

Solving for variable 'P'.

Reorder the terms:
61 + -10P + P2 = -61 + 61

Combine like terms: -61 + 61 = 0
61 + -10P + P2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-61' to each side of the equation.
61 + -10P + -61 + P2 = 0 + -61

Reorder the terms:
61 + -61 + -10P + P2 = 0 + -61

Combine like terms: 61 + -61 = 0
0 + -10P + P2 = 0 + -61
-10P + P2 = 0 + -61

Combine like terms: 0 + -61 = -61
-10P + P2 = -61

The P term is -10P.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10P + 25 + P2 = -61 + 25

Reorder the terms:
25 + -10P + P2 = -61 + 25

Combine like terms: -61 + 25 = -36
25 + -10P + P2 = -36

Factor a perfect square on the left side:
(P + -5)(P + -5) = -36

Can't calculate square root of the right side.

The solution to this equation could not be determined.