x^2-16x-44=0

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Solution for x^2-16x-44=0 equation: 


Simplifying
x2 + -16x + -44 = 0

Reorder the terms:
-44 + -16x + x2 = 0

Solving
-44 + -16x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '44' to each side of the equation.
-44 + -16x + 44 + x2 = 0 + 44

Reorder the terms:
-44 + 44 + -16x + x2 = 0 + 44

Combine like terms: -44 + 44 = 0
0 + -16x + x2 = 0 + 44
-16x + x2 = 0 + 44

Combine like terms: 0 + 44 = 44
-16x + x2 = 44

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 = 44 + 64

Reorder the terms:
64 + -16x + x2 = 44 + 64

Combine like terms: 44 + 64 = 108
64 + -16x + x2 = 108

Factor a perfect square on the left side:
(x + -8)(x + -8) = 108

Calculate the square root of the right side: 10.392304845

Break this problem into two subproblems by setting 
(x + -8) equal to 10.392304845 and -10.392304845.


Subproblem 1
x + -8 = 10.392304845

Simplifying
x + -8 = 10.392304845

Reorder the terms:
-8 + x = 10.392304845

Solving
-8 + x = 10.392304845

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 = 10.392304845 + 8

Combine like terms: -8 + 8 = 0
0 + x = 10.392304845 + 8
x = 10.392304845 + 8

Combine like terms: 10.392304845 + 8 = 18.392304845
x = 18.392304845

Simplifying
x = 18.392304845


Subproblem 2
x + -8 = -10.392304845

Simplifying
x + -8 = -10.392304845

Reorder the terms:
-8 + x = -10.392304845

Solving
-8 + x = -10.392304845

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 = -10.392304845 + 8

Combine like terms: -8 + 8 = 0
0 + x = -10.392304845 + 8
x = -10.392304845 + 8

Combine like terms: -10.392304845 + 8 = -2.392304845
x = -2.392304845

Simplifying
x = -2.392304845


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {18.392304845, -2.392304845}

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