3q^2-120q+1400=0

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Solution for 3q^2-120q+1400=0 equation:


Simplifying
3q2 + -120q + 1400 = 0

Reorder the terms:
1400 + -120q + 3q2 = 0

Solving
1400 + -120q + 3q2 = 0

Solving for variable 'q'.

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

Divide each side by '3'.
466.6666667 + -40q + q2 = 0

Move the constant term to the right:

Add '-466.6666667' to each side of the equation.
466.6666667 + -40q + -466.6666667 + q2 = 0 + -466.6666667

Reorder the terms:
466.6666667 + -466.6666667 + -40q + q2 = 0 + -466.6666667

Combine like terms: 466.6666667 + -466.6666667 = 0.0000000
0.0000000 + -40q + q2 = 0 + -466.6666667
-40q + q2 = 0 + -466.6666667

Combine like terms: 0 + -466.6666667 = -466.6666667
-40q + q2 = -466.6666667

The q term is -40q.  Take half its coefficient (-20).
Square it (400) and add it to both sides.

Add '400' to each side of the equation.
-40q + 400 + q2 = -466.6666667 + 400

Reorder the terms:
400 + -40q + q2 = -466.6666667 + 400

Combine like terms: -466.6666667 + 400 = -66.6666667
400 + -40q + q2 = -66.6666667

Factor a perfect square on the left side:
(q + -20)(q + -20) = -66.6666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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