x^2-18x+106=0

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Solution for x^2-18x+106=0 equation:


Simplifying
x2 + -18x + 106 = 0

Reorder the terms:
106 + -18x + x2 = 0

Solving
106 + -18x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-106' to each side of the equation.
106 + -18x + -106 + x2 = 0 + -106

Reorder the terms:
106 + -106 + -18x + x2 = 0 + -106

Combine like terms: 106 + -106 = 0
0 + -18x + x2 = 0 + -106
-18x + x2 = 0 + -106

Combine like terms: 0 + -106 = -106
-18x + x2 = -106

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 = -106 + 81

Reorder the terms:
81 + -18x + x2 = -106 + 81

Combine like terms: -106 + 81 = -25
81 + -18x + x2 = -25

Factor a perfect square on the left side:
(x + -9)(x + -9) = -25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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