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Simplifying
5644.9664 = 4 * 3.148r2
Multiply 4 * 3.148
5644.9664 = 12.592r2
Solving
5644.9664 = 12.592r2
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-12.592r2' to each side of the equation.
5644.9664 + -12.592r2 = 12.592r2 + -12.592r2
Combine like terms: 12.592r2 + -12.592r2 = 0.000
5644.9664 + -12.592r2 = 0.000
Add '-5644.9664' to each side of the equation.
5644.9664 + -5644.9664 + -12.592r2 = 0.000 + -5644.9664
Combine like terms: 5644.9664 + -5644.9664 = 0.0000
0.0000 + -12.592r2 = 0.000 + -5644.9664
-12.592r2 = 0.000 + -5644.9664
Combine like terms: 0.000 + -5644.9664 = -5644.9664
-12.592r2 = -5644.9664
Divide each side by '-12.592'.
r2 = 448.2978399
Simplifying
r2 = 448.2978399
Take the square root of each side:
r = {-21.173045126, 21.173045126}
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