-x^2+45x-621=0

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Solution for -x^2+45x-621=0 equation:


Simplifying
-1x2 + 45x + -621 = 0

Reorder the terms:
-621 + 45x + -1x2 = 0

Solving
-621 + 45x + -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'.
621 + -45x + x2 = 0

Move the constant term to the right:

Add '-621' to each side of the equation.
621 + -45x + -621 + x2 = 0 + -621

Reorder the terms:
621 + -621 + -45x + x2 = 0 + -621

Combine like terms: 621 + -621 = 0
0 + -45x + x2 = 0 + -621
-45x + x2 = 0 + -621

Combine like terms: 0 + -621 = -621
-45x + x2 = -621

The x term is -45x.  Take half its coefficient (-22.5).
Square it (506.25) and add it to both sides.

Add '506.25' to each side of the equation.
-45x + 506.25 + x2 = -621 + 506.25

Reorder the terms:
506.25 + -45x + x2 = -621 + 506.25

Combine like terms: -621 + 506.25 = -114.75
506.25 + -45x + x2 = -114.75

Factor a perfect square on the left side:
(x + -22.5)(x + -22.5) = -114.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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