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Simplifying
550.4288 = 6.28r2 + 101.108
Reorder the terms:
550.4288 = 101.108 + 6.28r2
Solving
550.4288 = 101.108 + 6.28r2
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-6.28r2' to each side of the equation.
550.4288 + -6.28r2 = 101.108 + 6.28r2 + -6.28r2
Combine like terms: 6.28r2 + -6.28r2 = 0.00
550.4288 + -6.28r2 = 101.108 + 0.00
550.4288 + -6.28r2 = 101.108
Add '-550.4288' to each side of the equation.
550.4288 + -550.4288 + -6.28r2 = 101.108 + -550.4288
Combine like terms: 550.4288 + -550.4288 = 0.0000
0.0000 + -6.28r2 = 101.108 + -550.4288
-6.28r2 = 101.108 + -550.4288
Combine like terms: 101.108 + -550.4288 = -449.3208
-6.28r2 = -449.3208
Divide each side by '-6.28'.
r2 = 71.54789809
Simplifying
r2 = 71.54789809
Take the square root of each side:
r = {-8.458599062, 8.458599062}
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