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Simplifying
11124.392 = 6.28r2 + 547.616
Reorder the terms:
11124.392 = 547.616 + 6.28r2
Solving
11124.392 = 547.616 + 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.
11124.392 + -6.28r2 = 547.616 + 6.28r2 + -6.28r2
Combine like terms: 6.28r2 + -6.28r2 = 0.00
11124.392 + -6.28r2 = 547.616 + 0.00
11124.392 + -6.28r2 = 547.616
Add '-11124.392' to each side of the equation.
11124.392 + -11124.392 + -6.28r2 = 547.616 + -11124.392
Combine like terms: 11124.392 + -11124.392 = 0.000
0.000 + -6.28r2 = 547.616 + -11124.392
-6.28r2 = 547.616 + -11124.392
Combine like terms: 547.616 + -11124.392 = -10576.776
-6.28r2 = -10576.776
Divide each side by '-6.28'.
r2 = 1684.2
Simplifying
r2 = 1684.2
Take the square root of each side:
r = {-41.039005836, 41.039005836}
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