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Simplifying s(r) = 2pir2 + 28pir2 Multiply s * r rs = 2pir2 + 28pir2 Combine like terms: 2ipr2 + 28ipr2 = 30ipr2 rs = 30ipr2 Solving rs = 30ipr2 Solving for variable 'r'. Reorder the terms: -30ipr2 + rs = 30ipr2 + -30ipr2 Combine like terms: 30ipr2 + -30ipr2 = 0 -30ipr2 + rs = 0 Factor out the Greatest Common Factor (GCF), 'r'. r(-30ipr + s) = 0Subproblem 1
Set the factor 'r' equal to zero and attempt to solve: Simplifying r = 0 Solving r = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r = 0Subproblem 2
Set the factor '(-30ipr + s)' equal to zero and attempt to solve: Simplifying -30ipr + s = 0 Solving -30ipr + s = 0 Move all terms containing r to the left, all other terms to the right. Add '-1s' to each side of the equation. -30ipr + s + -1s = 0 + -1s Combine like terms: s + -1s = 0 -30ipr + 0 = 0 + -1s -30ipr = 0 + -1s Remove the zero: -30ipr = -1s Divide each side by '-30ip'. r = 0.03333333333i-1p-1s Simplifying r = 0.03333333333i-1p-1sSolution
r = {0, 0.03333333333i-1p-1s}
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