3x^2-18x+58.5=0

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Solution for 3x^2-18x+58.5=0 equation:


Simplifying
3x2 + -18x + 58.5 = 0

Reorder the terms:
58.5 + -18x + 3x2 = 0

Solving
58.5 + -18x + 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'.
19.5 + -6x + x2 = 0

Move the constant term to the right:

Add '-19.5' to each side of the equation.
19.5 + -6x + -19.5 + x2 = 0 + -19.5

Reorder the terms:
19.5 + -19.5 + -6x + x2 = 0 + -19.5

Combine like terms: 19.5 + -19.5 = 0.0
0.0 + -6x + x2 = 0 + -19.5
-6x + x2 = 0 + -19.5

Combine like terms: 0 + -19.5 = -19.5
-6x + x2 = -19.5

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -19.5 + 9

Reorder the terms:
9 + -6x + x2 = -19.5 + 9

Combine like terms: -19.5 + 9 = -10.5
9 + -6x + x2 = -10.5

Factor a perfect square on the left side:
(x + -3)(x + -3) = -10.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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