x^2-18x+123=0

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Solution for x^2-18x+123=0 equation:


Simplifying
x2 + -18x + 123 = 0

Reorder the terms:
123 + -18x + x2 = 0

Solving
123 + -18x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-123' to each side of the equation.
123 + -18x + -123 + x2 = 0 + -123

Reorder the terms:
123 + -123 + -18x + x2 = 0 + -123

Combine like terms: 123 + -123 = 0
0 + -18x + x2 = 0 + -123
-18x + x2 = 0 + -123

Combine like terms: 0 + -123 = -123
-18x + x2 = -123

The x term is -18x.  Take half its coefficient (-9).
Square it (81) and add it to both sides.

Add '81' to each side of the equation.
-18x + 81 + x2 = -123 + 81

Reorder the terms:
81 + -18x + x2 = -123 + 81

Combine like terms: -123 + 81 = -42
81 + -18x + x2 = -42

Factor a perfect square on the left side:
(x + -9)(x + -9) = -42

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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