x^2-18x+180=0

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Solution for x^2-18x+180=0 equation:


Simplifying
x2 + -18x + 180 = 0

Reorder the terms:
180 + -18x + x2 = 0

Solving
180 + -18x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-180' to each side of the equation.
180 + -18x + -180 + x2 = 0 + -180

Reorder the terms:
180 + -180 + -18x + x2 = 0 + -180

Combine like terms: 180 + -180 = 0
0 + -18x + x2 = 0 + -180
-18x + x2 = 0 + -180

Combine like terms: 0 + -180 = -180
-18x + x2 = -180

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 = -180 + 81

Reorder the terms:
81 + -18x + x2 = -180 + 81

Combine like terms: -180 + 81 = -99
81 + -18x + x2 = -99

Factor a perfect square on the left side:
(x + -9)(x + -9) = -99

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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