x^2-45x+550=0

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Solution for x^2-45x+550=0 equation:


Simplifying
x2 + -45x + 550 = 0

Reorder the terms:
550 + -45x + x2 = 0

Solving
550 + -45x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-550' to each side of the equation.
550 + -45x + -550 + x2 = 0 + -550

Reorder the terms:
550 + -550 + -45x + x2 = 0 + -550

Combine like terms: 550 + -550 = 0
0 + -45x + x2 = 0 + -550
-45x + x2 = 0 + -550

Combine like terms: 0 + -550 = -550
-45x + x2 = -550

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 = -550 + 506.25

Reorder the terms:
506.25 + -45x + x2 = -550 + 506.25

Combine like terms: -550 + 506.25 = -43.75
506.25 + -45x + x2 = -43.75

Factor a perfect square on the left side:
(x + -22.5)(x + -22.5) = -43.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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