x^2-18x+162=0

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Solution for x^2-18x+162=0 equation:


Simplifying
x2 + -18x + 162 = 0

Reorder the terms:
162 + -18x + x2 = 0

Solving
162 + -18x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-162' to each side of the equation.
162 + -18x + -162 + x2 = 0 + -162

Reorder the terms:
162 + -162 + -18x + x2 = 0 + -162

Combine like terms: 162 + -162 = 0
0 + -18x + x2 = 0 + -162
-18x + x2 = 0 + -162

Combine like terms: 0 + -162 = -162
-18x + x2 = -162

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 = -162 + 81

Reorder the terms:
81 + -18x + x2 = -162 + 81

Combine like terms: -162 + 81 = -81
81 + -18x + x2 = -81

Factor a perfect square on the left side:
(x + -9)(x + -9) = -81

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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