q^2-5q+120=0

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Solution for q^2-5q+120=0 equation: 


Simplifying
q2 + -5q + 120 = 0

Reorder the terms:
120 + -5q + q2 = 0

Solving
120 + -5q + q2 = 0

Solving for variable 'q'.

Begin completing the square.

Move the constant term to the right:

Add '-120' to each side of the equation.
120 + -5q + -120 + q2 = 0 + -120

Reorder the terms:
120 + -120 + -5q + q2 = 0 + -120

Combine like terms: 120 + -120 = 0
0 + -5q + q2 = 0 + -120
-5q + q2 = 0 + -120

Combine like terms: 0 + -120 = -120
-5q + q2 = -120

The q term is -5q.  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.
-5q + 6.25 + q2 = -120 + 6.25

Reorder the terms:
6.25 + -5q + q2 = -120 + 6.25

Combine like terms: -120 + 6.25 = -113.75
6.25 + -5q + q2 = -113.75

Factor a perfect square on the left side:
(q + -2.5)(q + -2.5) = -113.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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