0=2205C-(1+C^2)(4.9)(2.48)-183

Solution for 0=2205C-(1+C^2)(4.9)(2.48)-183 equation:

Simplifying
0 = 2205C + -1(1 + C2)(4.9)(2.48) + -183

Reorder the terms for easier multiplication:
0 = 2205C + -1 * 4.9 * 2.48(1 + C2) + -183

Multiply -1 * 4.9
0 = 2205C + -4.9 * 2.48(1 + C2) + -183

Multiply -4.9 * 2.48
0 = 2205C + -12.152(1 + C2) + -183
0 = 2205C + (1 * -12.152 + C2 * -12.152) + -183
0 = 2205C + (-12.152 + -12.152C2) + -183

Reorder the terms:
0 = -12.152 + -183 + 2205C + -12.152C2

Combine like terms: -12.152 + -183 = -195.152
0 = -195.152 + 2205C + -12.152C2

Solving
0 = -195.152 + 2205C + -12.152C2

Solving for variable 'C'.

Combine like terms: 0 + 195.152 = 195.152
195.152 + -2205C + 12.152C2 = -195.152 + 2205C + -12.152C2 + 195.152 + -2205C + 12.152C2

Reorder the terms:
195.152 + -2205C + 12.152C2 = -195.152 + 195.152 + 2205C + -2205C + -12.152C2 + 12.152C2

Combine like terms: -195.152 + 195.152 = 0.000
195.152 + -2205C + 12.152C2 = 0.000 + 2205C + -2205C + -12.152C2 + 12.152C2
195.152 + -2205C + 12.152C2 = 2205C + -2205C + -12.152C2 + 12.152C2

Combine like terms: 2205C + -2205C = 0
195.152 + -2205C + 12.152C2 = 0 + -12.152C2 + 12.152C2
195.152 + -2205C + 12.152C2 = -12.152C2 + 12.152C2

Combine like terms: -12.152C2 + 12.152C2 = 0.000
195.152 + -2205C + 12.152C2 = 0.000

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

Divide each side by '12.152'.
16.05924951 + -181.4516129C + C2 = 0

Move the constant term to the right:

Add '-16.05924951' to each side of the equation.
16.05924951 + -181.4516129C + -16.05924951 + C2 = 0 + -16.05924951

Reorder the terms:
16.05924951 + -16.05924951 + -181.4516129C + C2 = 0 + -16.05924951

Combine like terms: 16.05924951 + -16.05924951 = 0.00000000
0.00000000 + -181.4516129C + C2 = 0 + -16.05924951
-181.4516129C + C2 = 0 + -16.05924951

Combine like terms: 0 + -16.05924951 = -16.05924951
-181.4516129C + C2 = -16.05924951

The C term is -181.4516129C.  Take half its coefficient (-90.72580645).
Square it (8231.171956) and add it to both sides.

Add '8231.171956' to each side of the equation.
-181.4516129C + 8231.171956 + C2 = -16.05924951 + 8231.171956

Reorder the terms:
8231.171956 + -181.4516129C + C2 = -16.05924951 + 8231.171956

Combine like terms: -16.05924951 + 8231.171956 = 8215.11270649
8231.171956 + -181.4516129C + C2 = 8215.11270649

Factor a perfect square on the left side:
(C + -90.72580645)(C + -90.72580645) = 8215.11270649

Calculate the square root of the right side: 90.637258931

Break this problem into two subproblems by setting 
(C + -90.72580645) equal to 90.637258931 and -90.637258931.

Subproblem 1
C + -90.72580645 = 90.637258931

Simplifying
C + -90.72580645 = 90.637258931

Reorder the terms:
-90.72580645 + C = 90.637258931

Solving
-90.72580645 + C = 90.637258931

Solving for variable 'C'.

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

Add '90.72580645' to each side of the equation.
-90.72580645 + 90.72580645 + C = 90.637258931 + 90.72580645

Combine like terms: -90.72580645 + 90.72580645 = 0.00000000
0.00000000 + C = 90.637258931 + 90.72580645
C = 90.637258931 + 90.72580645

Combine like terms: 90.637258931 + 90.72580645 = 181.363065381
C = 181.363065381

Simplifying
C = 181.363065381

Subproblem 2
C + -90.72580645 = -90.637258931

Simplifying
C + -90.72580645 = -90.637258931

Reorder the terms:
-90.72580645 + C = -90.637258931

Solving
-90.72580645 + C = -90.637258931

Solving for variable 'C'.

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

Add '90.72580645' to each side of the equation.
-90.72580645 + 90.72580645 + C = -90.637258931 + 90.72580645

Combine like terms: -90.72580645 + 90.72580645 = 0.00000000
0.00000000 + C = -90.637258931 + 90.72580645
C = -90.637258931 + 90.72580645

Combine like terms: -90.637258931 + 90.72580645 = 0.088547519
C = 0.088547519

Simplifying
C = 0.088547519

Solution
The solution to the problem is based on the solutions
from the subproblems.
C = {181.363065381, 0.088547519}