(3x^2)-18x+100=0

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Solution for (3x^2)-18x+100=0 equation:


Simplifying
(3x2) + -18x + 100 = 0

Reorder the terms:
100 + -18x + (3x2) = 0

Solving
100 + -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'.
33.33333333 + -6x + x2 = 0

Move the constant term to the right:

Add '-33.33333333' to each side of the equation.
33.33333333 + -6x + -33.33333333 + x2 = 0 + -33.33333333

Reorder the terms:
33.33333333 + -33.33333333 + -6x + x2 = 0 + -33.33333333

Combine like terms: 33.33333333 + -33.33333333 = 0.00000000
0.00000000 + -6x + x2 = 0 + -33.33333333
-6x + x2 = 0 + -33.33333333

Combine like terms: 0 + -33.33333333 = -33.33333333
-6x + x2 = -33.33333333

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 = -33.33333333 + 9

Reorder the terms:
9 + -6x + x2 = -33.33333333 + 9

Combine like terms: -33.33333333 + 9 = -24.33333333
9 + -6x + x2 = -24.33333333

Factor a perfect square on the left side:
((x) + -3)((x) + -3) = -24.33333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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