3x^2-25x+66=0

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Solution for 3x^2-25x+66=0 equation:


Simplifying
3x2 + -25x + 66 = 0

Reorder the terms:
66 + -25x + 3x2 = 0

Solving
66 + -25x + 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'.
22 + -8.333333333x + x2 = 0

Move the constant term to the right:

Add '-22' to each side of the equation.
22 + -8.333333333x + -22 + x2 = 0 + -22

Reorder the terms:
22 + -22 + -8.333333333x + x2 = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -8.333333333x + x2 = 0 + -22
-8.333333333x + x2 = 0 + -22

Combine like terms: 0 + -22 = -22
-8.333333333x + x2 = -22

The x term is -8.333333333x.  Take half its coefficient (-4.166666667).
Square it (17.36111111) and add it to both sides.

Add '17.36111111' to each side of the equation.
-8.333333333x + 17.36111111 + x2 = -22 + 17.36111111

Reorder the terms:
17.36111111 + -8.333333333x + x2 = -22 + 17.36111111

Combine like terms: -22 + 17.36111111 = -4.63888889
17.36111111 + -8.333333333x + x2 = -4.63888889

Factor a perfect square on the left side:
(x + -4.166666667)(x + -4.166666667) = -4.63888889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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