e^2-18e+218=0

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Solution for e^2-18e+218=0 equation:


Simplifying
e2 + -18e + 218 = 0

Reorder the terms:
218 + -18e + e2 = 0

Solving
218 + -18e + e2 = 0

Solving for variable 'e'.

Begin completing the square.

Move the constant term to the right:

Add '-218' to each side of the equation.
218 + -18e + -218 + e2 = 0 + -218

Reorder the terms:
218 + -218 + -18e + e2 = 0 + -218

Combine like terms: 218 + -218 = 0
0 + -18e + e2 = 0 + -218
-18e + e2 = 0 + -218

Combine like terms: 0 + -218 = -218
-18e + e2 = -218

The e term is -18e.  Take half its coefficient (-9).
Square it (81) and add it to both sides.

Add '81' to each side of the equation.
-18e + 81 + e2 = -218 + 81

Reorder the terms:
81 + -18e + e2 = -218 + 81

Combine like terms: -218 + 81 = -137
81 + -18e + e2 = -137

Factor a perfect square on the left side:
(e + -9)(e + -9) = -137

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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