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Simplifying
10889.52 = 6.28r2 + 533.8
Reorder the terms:
10889.52 = 533.8 + 6.28r2
Solving
10889.52 = 533.8 + 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.
10889.52 + -6.28r2 = 533.8 + 6.28r2 + -6.28r2
Combine like terms: 6.28r2 + -6.28r2 = 0.00
10889.52 + -6.28r2 = 533.8 + 0.00
10889.52 + -6.28r2 = 533.8
Add '-10889.52' to each side of the equation.
10889.52 + -10889.52 + -6.28r2 = 533.8 + -10889.52
Combine like terms: 10889.52 + -10889.52 = 0.00
0.00 + -6.28r2 = 533.8 + -10889.52
-6.28r2 = 533.8 + -10889.52
Combine like terms: 533.8 + -10889.52 = -10355.72
-6.28r2 = -10355.72
Divide each side by '-6.28'.
r2 = 1649
Simplifying
r2 = 1649
Take the square root of each side:
r = {-40.607881008, 40.607881008}
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