x^2-18x+81=-256

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Solution for x^2-18x+81=-256 equation:


Simplifying
x2 + -18x + 81 = -256

Reorder the terms:
81 + -18x + x2 = -256

Solving
81 + -18x + x2 = -256

Solving for variable 'x'.

Reorder the terms:
81 + 256 + -18x + x2 = -256 + 256

Combine like terms: 81 + 256 = 337
337 + -18x + x2 = -256 + 256

Combine like terms: -256 + 256 = 0
337 + -18x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-337' to each side of the equation.
337 + -18x + -337 + x2 = 0 + -337

Reorder the terms:
337 + -337 + -18x + x2 = 0 + -337

Combine like terms: 337 + -337 = 0
0 + -18x + x2 = 0 + -337
-18x + x2 = 0 + -337

Combine like terms: 0 + -337 = -337
-18x + x2 = -337

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 = -337 + 81

Reorder the terms:
81 + -18x + x2 = -337 + 81

Combine like terms: -337 + 81 = -256
81 + -18x + x2 = -256

Factor a perfect square on the left side:
(x + -9)(x + -9) = -256

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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