x^2-18x=-92

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Solution for x^2-18x=-92 equation:


Simplifying
x2 + -18x = -92

Reorder the terms:
-18x + x2 = -92

Solving
-18x + x2 = -92

Solving for variable 'x'.

Reorder the terms:
92 + -18x + x2 = -92 + 92

Combine like terms: -92 + 92 = 0
92 + -18x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-92' to each side of the equation.
92 + -18x + -92 + x2 = 0 + -92

Reorder the terms:
92 + -92 + -18x + x2 = 0 + -92

Combine like terms: 92 + -92 = 0
0 + -18x + x2 = 0 + -92
-18x + x2 = 0 + -92

Combine like terms: 0 + -92 = -92
-18x + x2 = -92

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 = -92 + 81

Reorder the terms:
81 + -18x + x2 = -92 + 81

Combine like terms: -92 + 81 = -11
81 + -18x + x2 = -11

Factor a perfect square on the left side:
(x + -9)(x + -9) = -11

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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