x^2+16x+18=0

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Solution for x^2+16x+18=0 equation: 


Simplifying
x2 + 16x + 18 = 0

Reorder the terms:
18 + 16x + x2 = 0

Solving
18 + 16x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-18' to each side of the equation.
18 + 16x + -18 + x2 = 0 + -18

Reorder the terms:
18 + -18 + 16x + x2 = 0 + -18

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

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

The x term is 16x.  Take half its coefficient (8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
16x + 64 + x2 = -18 + 64

Reorder the terms:
64 + 16x + x2 = -18 + 64

Combine like terms: -18 + 64 = 46
64 + 16x + x2 = 46

Factor a perfect square on the left side:
(x + 8)(x + 8) = 46

Calculate the square root of the right side: 6.782329983

Break this problem into two subproblems by setting 
(x + 8) equal to 6.782329983 and -6.782329983.


Subproblem 1
x + 8 = 6.782329983

Simplifying
x + 8 = 6.782329983

Reorder the terms:
8 + x = 6.782329983

Solving
8 + x = 6.782329983

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + x = 6.782329983 + -8

Combine like terms: 8 + -8 = 0
0 + x = 6.782329983 + -8
x = 6.782329983 + -8

Combine like terms: 6.782329983 + -8 = -1.217670017
x = -1.217670017

Simplifying
x = -1.217670017


Subproblem 2
x + 8 = -6.782329983

Simplifying
x + 8 = -6.782329983

Reorder the terms:
8 + x = -6.782329983

Solving
8 + x = -6.782329983

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + x = -6.782329983 + -8

Combine like terms: 8 + -8 = 0
0 + x = -6.782329983 + -8
x = -6.782329983 + -8

Combine like terms: -6.782329983 + -8 = -14.782329983
x = -14.782329983

Simplifying
x = -14.782329983


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-1.217670017, -14.782329983}

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