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Simplifying A(r) = 4pir2 Multiply A * r rA = 4pir2 Solving rA = 4ipr2 Solving for variable 'r'. Reorder the terms: -4ipr2 + rA = 4ipr2 + -4ipr2 Combine like terms: 4ipr2 + -4ipr2 = 0 -4ipr2 + rA = 0 Factor out the Greatest Common Factor (GCF), 'r'. r(-4ipr + A) = 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 '(-4ipr + A)' equal to zero and attempt to solve: Simplifying -4ipr + A = 0 Reorder the terms: A + -4ipr = 0 Solving A + -4ipr = 0 Move all terms containing r to the left, all other terms to the right. Add '-1A' to each side of the equation. A + -1A + -4ipr = 0 + -1A Combine like terms: A + -1A = 0 0 + -4ipr = 0 + -1A -4ipr = 0 + -1A Remove the zero: -4ipr = -1A Divide each side by '-4ip'. r = 0.25i-1p-1A Simplifying r = 0.25i-1p-1ASolution
r = {0, 0.25i-1p-1A}
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