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Simplifying
32 * 3.14 = 3.14r2 * 8
Multiply 32 * 3.14
100.48 = 3.14r2 * 8
Reorder the terms for easier multiplication:
100.48 = 3.14 * 8r2
Multiply 3.14 * 8
100.48 = 25.12r2
Solving
100.48 = 25.12r2
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-25.12r2' to each side of the equation.
100.48 + -25.12r2 = 25.12r2 + -25.12r2
Combine like terms: 25.12r2 + -25.12r2 = 0.00
100.48 + -25.12r2 = 0.00
Add '-100.48' to each side of the equation.
100.48 + -100.48 + -25.12r2 = 0.00 + -100.48
Combine like terms: 100.48 + -100.48 = 0.00
0.00 + -25.12r2 = 0.00 + -100.48
-25.12r2 = 0.00 + -100.48
Combine like terms: 0.00 + -100.48 = -100.48
-25.12r2 = -100.48
Divide each side by '-25.12'.
r2 = 4
Simplifying
r2 = 4
Take the square root of each side:
r = {-2, 2}
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