-x^2+6x-18=0

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Solution for -x^2+6x-18=0 equation:


Simplifying
-1x2 + 6x + -18 = 0

Reorder the terms:
-18 + 6x + -1x2 = 0

Solving
-18 + 6x + -1x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
18 + -6x + x2 = 0

Move the constant term to the right:

Add '-18' to each side of the equation.
18 + -6x + -18 + x2 = 0 + -18

Reorder the terms:
18 + -18 + -6x + x2 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -6x + x2 = 0 + -18
-6x + x2 = 0 + -18

Combine like terms: 0 + -18 = -18
-6x + x2 = -18

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 = -18 + 9

Reorder the terms:
9 + -6x + x2 = -18 + 9

Combine like terms: -18 + 9 = -9
9 + -6x + x2 = -9

Factor a perfect square on the left side:
(x + -3)(x + -3) = -9

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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