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Simplifying
16(3.14) = 250(3.14) + -10(3.14) * r2
Multiply 16 * 3.14
50.24 = 250(3.14) + -10(3.14) * r2
Multiply 250 * 3.14
50.24 = 785 + -10(3.14) * r2
Multiply -10 * 3.14
50.24 = 785 + -31.4r2
Solving
50.24 = 785 + -31.4r2
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '31.4r2' to each side of the equation.
50.24 + 31.4r2 = 785 + -31.4r2 + 31.4r2
Combine like terms: -31.4r2 + 31.4r2 = 0.0
50.24 + 31.4r2 = 785 + 0.0
50.24 + 31.4r2 = 785
Add '-50.24' to each side of the equation.
50.24 + -50.24 + 31.4r2 = 785 + -50.24
Combine like terms: 50.24 + -50.24 = 0.00
0.00 + 31.4r2 = 785 + -50.24
31.4r2 = 785 + -50.24
Combine like terms: 785 + -50.24 = 734.76
31.4r2 = 734.76
Divide each side by '31.4'.
r2 = 23.4
Simplifying
r2 = 23.4
Take the square root of each side:
r = {-4.837354649, 4.837354649}
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