2.1=0.0027066x^2+0.042524x+0.098083

Solution for 2.1=0.0027066x^2+0.042524x+0.098083 equation:

Simplifying
2.1 = 0.0027066x2 + 0.042524x + 0.098083

Reorder the terms:
2.1 = 0.098083 + 0.042524x + 0.0027066x2

Solving
2.1 = 0.098083 + 0.042524x + 0.0027066x2

Solving for variable 'x'.

Combine like terms: 2.1 + -0.098083 = 2.001917
2.001917 + -0.042524x + -0.0027066x2 = 0.098083 + 0.042524x + 0.0027066x2 + -0.098083 + -0.042524x + -0.0027066x2

Reorder the terms:
2.001917 + -0.042524x + -0.0027066x2 = 0.098083 + -0.098083 + 0.042524x + -0.042524x + 0.0027066x2 + -0.0027066x2

Combine like terms: 0.098083 + -0.098083 = 0.000000
2.001917 + -0.042524x + -0.0027066x2 = 0.000000 + 0.042524x + -0.042524x + 0.0027066x2 + -0.0027066x2
2.001917 + -0.042524x + -0.0027066x2 = 0.042524x + -0.042524x + 0.0027066x2 + -0.0027066x2

Combine like terms: 0.042524x + -0.042524x = 0.000000
2.001917 + -0.042524x + -0.0027066x2 = 0.000000 + 0.0027066x2 + -0.0027066x2
2.001917 + -0.042524x + -0.0027066x2 = 0.0027066x2 + -0.0027066x2

Combine like terms: 0.0027066x2 + -0.0027066x2 = 0.0000000
2.001917 + -0.042524x + -0.0027066x2 = 0.0000000

Begin completing the square.  Divide all terms by
-0.0027066 the coefficient of the squared term: 

Divide each side by '-0.0027066'.
-739.6427252 + 15.71122441x + x2 = 0

Move the constant term to the right:

Add '739.6427252' to each side of the equation.
-739.6427252 + 15.71122441x + 739.6427252 + x2 = 0 + 739.6427252

Reorder the terms:
-739.6427252 + 739.6427252 + 15.71122441x + x2 = 0 + 739.6427252

Combine like terms: -739.6427252 + 739.6427252 = 0.0000000
0.0000000 + 15.71122441x + x2 = 0 + 739.6427252
15.71122441x + x2 = 0 + 739.6427252

Combine like terms: 0 + 739.6427252 = 739.6427252
15.71122441x + x2 = 739.6427252

The x term is 15.71122441x.  Take half its coefficient (7.855612205).
Square it (61.71064312) and add it to both sides.

Add '61.71064312' to each side of the equation.
15.71122441x + 61.71064312 + x2 = 739.6427252 + 61.71064312

Reorder the terms:
61.71064312 + 15.71122441x + x2 = 739.6427252 + 61.71064312

Combine like terms: 739.6427252 + 61.71064312 = 801.35336832
61.71064312 + 15.71122441x + x2 = 801.35336832

Factor a perfect square on the left side:
(x + 7.855612205)(x + 7.855612205) = 801.35336832

Calculate the square root of the right side: 28.308185536

Break this problem into two subproblems by setting 
(x + 7.855612205) equal to 28.308185536 and -28.308185536.

Subproblem 1
x + 7.855612205 = 28.308185536

Simplifying
x + 7.855612205 = 28.308185536

Reorder the terms:
7.855612205 + x = 28.308185536

Solving
7.855612205 + x = 28.308185536

Solving for variable 'x'.

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

Add '-7.855612205' to each side of the equation.
7.855612205 + -7.855612205 + x = 28.308185536 + -7.855612205

Combine like terms: 7.855612205 + -7.855612205 = 0.000000000
0.000000000 + x = 28.308185536 + -7.855612205
x = 28.308185536 + -7.855612205

Combine like terms: 28.308185536 + -7.855612205 = 20.452573331
x = 20.452573331

Simplifying
x = 20.452573331

Subproblem 2
x + 7.855612205 = -28.308185536

Simplifying
x + 7.855612205 = -28.308185536

Reorder the terms:
7.855612205 + x = -28.308185536

Solving
7.855612205 + x = -28.308185536

Solving for variable 'x'.

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

Add '-7.855612205' to each side of the equation.
7.855612205 + -7.855612205 + x = -28.308185536 + -7.855612205

Combine like terms: 7.855612205 + -7.855612205 = 0.000000000
0.000000000 + x = -28.308185536 + -7.855612205
x = -28.308185536 + -7.855612205

Combine like terms: -28.308185536 + -7.855612205 = -36.163797741
x = -36.163797741

Simplifying
x = -36.163797741

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {20.452573331, -36.163797741}