x^2-18x+224=0

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Solution for x^2-18x+224=0 equation:


Simplifying
x2 + -18x + 224 = 0

Reorder the terms:
224 + -18x + x2 = 0

Solving
224 + -18x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-224' to each side of the equation.
224 + -18x + -224 + x2 = 0 + -224

Reorder the terms:
224 + -224 + -18x + x2 = 0 + -224

Combine like terms: 224 + -224 = 0
0 + -18x + x2 = 0 + -224
-18x + x2 = 0 + -224

Combine like terms: 0 + -224 = -224
-18x + x2 = -224

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 = -224 + 81

Reorder the terms:
81 + -18x + x2 = -224 + 81

Combine like terms: -224 + 81 = -143
81 + -18x + x2 = -143

Factor a perfect square on the left side:
(x + -9)(x + -9) = -143

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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