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Simplifying
8038.4 = 6.28r2 + 401.92
Reorder the terms:
8038.4 = 401.92 + 6.28r2
Solving
8038.4 = 401.92 + 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.
8038.4 + -6.28r2 = 401.92 + 6.28r2 + -6.28r2
Combine like terms: 6.28r2 + -6.28r2 = 0.00
8038.4 + -6.28r2 = 401.92 + 0.00
8038.4 + -6.28r2 = 401.92
Add '-8038.4' to each side of the equation.
8038.4 + -8038.4 + -6.28r2 = 401.92 + -8038.4
Combine like terms: 8038.4 + -8038.4 = 0.0
0.0 + -6.28r2 = 401.92 + -8038.4
-6.28r2 = 401.92 + -8038.4
Combine like terms: 401.92 + -8038.4 = -7636.48
-6.28r2 = -7636.48
Divide each side by '-6.28'.
r2 = 1216
Simplifying
r2 = 1216
Take the square root of each side:
r = {-34.871191548, 34.871191548}
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