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Simplifying P(r + 4) * 2 = 100P Reorder the terms: P(4 + r) * 2 = 100P Reorder the terms for easier multiplication: 2P(4 + r) = 100P (4 * 2P + r * 2P) = 100P (8P + 2rP) = 100P Solving 8P + 2rP = 100P Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-100P' to each side of the equation. 8P + -100P + 2rP = 100P + -100P Combine like terms: 8P + -100P = -92P -92P + 2rP = 100P + -100P Combine like terms: 100P + -100P = 0 -92P + 2rP = 0 Factor out the Greatest Common Factor (GCF), '2P'. 2P(-46 + r) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'P' equal to zero and attempt to solve: Simplifying P = 0 Solving P = 0 Move all terms containing P to the left, all other terms to the right. Simplifying P = 0Subproblem 2
Set the factor '(-46 + r)' equal to zero and attempt to solve: Simplifying -46 + r = 0 Solving -46 + r = 0 Move all terms containing P to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + r = 0 + 46 Combine like terms: -46 + 46 = 0 0 + r = 0 + 46 r = 0 + 46 Combine like terms: 0 + 46 = 46 r = 46 Add '-1r' to each side of the equation. r + -1r = 46 + -1r Combine like terms: r + -1r = 0 0 = 46 + -1r Simplifying 0 = 46 + -1r The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
P = {0}
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