-q^2+14q-111=0

Solution for -q^2+14q-111=0 equation:

Simplifying
-1q2 + 14q + -111 = 0

Reorder the terms:
-111 + 14q + -1q2 = 0

Solving
-111 + 14q + -1q2 = 0

Solving for variable 'q'.

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
111 + -14q + q2 = 0

Move the constant term to the right:

Add '-111' to each side of the equation.
111 + -14q + -111 + q2 = 0 + -111

Reorder the terms:
111 + -111 + -14q + q2 = 0 + -111

Combine like terms: 111 + -111 = 0
0 + -14q + q2 = 0 + -111
-14q + q2 = 0 + -111

Combine like terms: 0 + -111 = -111
-14q + q2 = -111

The q term is -14q.  Take half its coefficient (-7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
-14q + 49 + q2 = -111 + 49

Reorder the terms:
49 + -14q + q2 = -111 + 49

Combine like terms: -111 + 49 = -62
49 + -14q + q2 = -62

Factor a perfect square on the left side:
(q + -7)(q + -7) = -62

Can't calculate square root of the right side.

The solution to this equation could not be determined.