61.8r+440+6.18(49-r^2)=338*3.14

Solution for 61.8r+440+6.18(49-r^2)=338*3.14 equation:

Simplifying
61.8r + 440 + 6.18(49 + -1r2) = 338 * 3.14
61.8r + 440 + (49 * 6.18 + -1r2 * 6.18) = 338 * 3.14
61.8r + 440 + (302.82 + -6.18r2) = 338 * 3.14

Reorder the terms:
440 + 302.82 + 61.8r + -6.18r2 = 338 * 3.14

Combine like terms: 440 + 302.82 = 742.82
742.82 + 61.8r + -6.18r2 = 338 * 3.14

Multiply 338 * 3.14
742.82 + 61.8r + -6.18r2 = 1061.32

Solving
742.82 + 61.8r + -6.18r2 = 1061.32

Solving for variable 'r'.

Reorder the terms:
742.82 + -1061.32 + 61.8r + -6.18r2 = 1061.32 + -1061.32

Combine like terms: 742.82 + -1061.32 = -318.5
-318.5 + 61.8r + -6.18r2 = 1061.32 + -1061.32

Combine like terms: 1061.32 + -1061.32 = 0.00
-318.5 + 61.8r + -6.18r2 = 0.00

Begin completing the square.  Divide all terms by
-6.18 the coefficient of the squared term: 

Divide each side by '-6.18'.
51.53721683 + -10r + r2 = 0

Move the constant term to the right:

Add '-51.53721683' to each side of the equation.
51.53721683 + -10r + -51.53721683 + r2 = 0 + -51.53721683

Reorder the terms:
51.53721683 + -51.53721683 + -10r + r2 = 0 + -51.53721683

Combine like terms: 51.53721683 + -51.53721683 = 0.00000000
0.00000000 + -10r + r2 = 0 + -51.53721683
-10r + r2 = 0 + -51.53721683

Combine like terms: 0 + -51.53721683 = -51.53721683
-10r + r2 = -51.53721683

The r term is -10r.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10r + 25 + r2 = -51.53721683 + 25

Reorder the terms:
25 + -10r + r2 = -51.53721683 + 25

Combine like terms: -51.53721683 + 25 = -26.53721683
25 + -10r + r2 = -26.53721683

Factor a perfect square on the left side:
(r + -5)(r + -5) = -26.53721683

Can't calculate square root of the right side.

The solution to this equation could not be determined.