x^2+18x+81=-16

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Solution for x^2+18x+81=-16 equation:


Simplifying
x2 + 18x + 81 = -16

Reorder the terms:
81 + 18x + x2 = -16

Solving
81 + 18x + x2 = -16

Solving for variable 'x'.

Reorder the terms:
81 + 16 + 18x + x2 = -16 + 16

Combine like terms: 81 + 16 = 97
97 + 18x + x2 = -16 + 16

Combine like terms: -16 + 16 = 0
97 + 18x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-97' to each side of the equation.
97 + 18x + -97 + x2 = 0 + -97

Reorder the terms:
97 + -97 + 18x + x2 = 0 + -97

Combine like terms: 97 + -97 = 0
0 + 18x + x2 = 0 + -97
18x + x2 = 0 + -97

Combine like terms: 0 + -97 = -97
18x + x2 = -97

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 = -97 + 81

Reorder the terms:
81 + 18x + x2 = -97 + 81

Combine like terms: -97 + 81 = -16
81 + 18x + x2 = -16

Factor a perfect square on the left side:
(x + 9)(x + 9) = -16

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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