x^2+18x+81=x

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Solution for x^2+18x+81=x equation:


Simplifying
x2 + 18x + 81 = x

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

Solving
81 + 18x + x2 = x

Solving for variable 'x'.

Reorder the terms:
81 + 18x + -1x + x2 = x + -1x

Combine like terms: 18x + -1x = 17x
81 + 17x + x2 = x + -1x

Combine like terms: x + -1x = 0
81 + 17x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-81' to each side of the equation.
81 + 17x + -81 + x2 = 0 + -81

Reorder the terms:
81 + -81 + 17x + x2 = 0 + -81

Combine like terms: 81 + -81 = 0
0 + 17x + x2 = 0 + -81
17x + x2 = 0 + -81

Combine like terms: 0 + -81 = -81
17x + x2 = -81

The x term is 17x.  Take half its coefficient (8.5).
Square it (72.25) and add it to both sides.

Add '72.25' to each side of the equation.
17x + 72.25 + x2 = -81 + 72.25

Reorder the terms:
72.25 + 17x + x2 = -81 + 72.25

Combine like terms: -81 + 72.25 = -8.75
72.25 + 17x + x2 = -8.75

Factor a perfect square on the left side:
(x + 8.5)(x + 8.5) = -8.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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