x^2-99x-10=0

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Solution for x^2-99x-10=0 equation: 


Simplifying
x2 + -99x + -10 = 0

Reorder the terms:
-10 + -99x + x2 = 0

Solving
-10 + -99x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '10' to each side of the equation.
-10 + -99x + 10 + x2 = 0 + 10

Reorder the terms:
-10 + 10 + -99x + x2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -99x + x2 = 0 + 10
-99x + x2 = 0 + 10

Combine like terms: 0 + 10 = 10
-99x + x2 = 10

The x term is -99x.  Take half its coefficient (-49.5).
Square it (2450.25) and add it to both sides.

Add '2450.25' to each side of the equation.
-99x + 2450.25 + x2 = 10 + 2450.25

Reorder the terms:
2450.25 + -99x + x2 = 10 + 2450.25

Combine like terms: 10 + 2450.25 = 2460.25
2450.25 + -99x + x2 = 2460.25

Factor a perfect square on the left side:
(x + -49.5)(x + -49.5) = 2460.25

Calculate the square root of the right side: 49.60090725

Break this problem into two subproblems by setting 
(x + -49.5) equal to 49.60090725 and -49.60090725.


Subproblem 1
x + -49.5 = 49.60090725

Simplifying
x + -49.5 = 49.60090725

Reorder the terms:
-49.5 + x = 49.60090725

Solving
-49.5 + x = 49.60090725

Solving for variable 'x'.

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

Add '49.5' to each side of the equation.
-49.5 + 49.5 + x = 49.60090725 + 49.5

Combine like terms: -49.5 + 49.5 = 0.0
0.0 + x = 49.60090725 + 49.5
x = 49.60090725 + 49.5

Combine like terms: 49.60090725 + 49.5 = 99.10090725
x = 99.10090725

Simplifying
x = 99.10090725


Subproblem 2
x + -49.5 = -49.60090725

Simplifying
x + -49.5 = -49.60090725

Reorder the terms:
-49.5 + x = -49.60090725

Solving
-49.5 + x = -49.60090725

Solving for variable 'x'.

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

Add '49.5' to each side of the equation.
-49.5 + 49.5 + x = -49.60090725 + 49.5

Combine like terms: -49.5 + 49.5 = 0.0
0.0 + x = -49.60090725 + 49.5
x = -49.60090725 + 49.5

Combine like terms: -49.60090725 + 49.5 = -0.10090725
x = -0.10090725

Simplifying
x = -0.10090725


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {99.10090725, -0.10090725}

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