3*X^2-16*X+60=0

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Solution for 3*X^2-16*X+60=0 equation:


Simplifying
3X2 + -16X + 60 = 0

Reorder the terms:
60 + -16X + 3X2 = 0

Solving
60 + -16X + 3X2 = 0

Solving for variable 'X'.

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

Divide each side by '3'.
20 + -5.333333333X + X2 = 0

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + -5.333333333X + -20 + X2 = 0 + -20

Reorder the terms:
20 + -20 + -5.333333333X + X2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -5.333333333X + X2 = 0 + -20
-5.333333333X + X2 = 0 + -20

Combine like terms: 0 + -20 = -20
-5.333333333X + X2 = -20

The X term is -5.333333333X.  Take half its coefficient (-2.666666667).
Square it (7.111111113) and add it to both sides.

Add '7.111111113' to each side of the equation.
-5.333333333X + 7.111111113 + X2 = -20 + 7.111111113

Reorder the terms:
7.111111113 + -5.333333333X + X2 = -20 + 7.111111113

Combine like terms: -20 + 7.111111113 = -12.888888887
7.111111113 + -5.333333333X + X2 = -12.888888887

Factor a perfect square on the left side:
(X + -2.666666667)(X + -2.666666667) = -12.888888887

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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