x^2-18x+90=0

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Solution for x^2-18x+90=0 equation:


Simplifying
x2 + -18x + 90 = 0

Reorder the terms:
90 + -18x + x2 = 0

Solving
90 + -18x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-90' to each side of the equation.
90 + -18x + -90 + x2 = 0 + -90

Reorder the terms:
90 + -90 + -18x + x2 = 0 + -90

Combine like terms: 90 + -90 = 0
0 + -18x + x2 = 0 + -90
-18x + x2 = 0 + -90

Combine like terms: 0 + -90 = -90
-18x + x2 = -90

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 = -90 + 81

Reorder the terms:
81 + -18x + x2 = -90 + 81

Combine like terms: -90 + 81 = -9
81 + -18x + x2 = -9

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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