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Simplifying A(n) = 5.1 + (n + -1) * 5.1 Multiply A * n nA = 5.1 + (n + -1) * 5.1 Reorder the terms: nA = 5.1 + (-1 + n) * 5.1 Reorder the terms for easier multiplication: nA = 5.1 + 5.1(-1 + n) nA = 5.1 + (-1 * 5.1 + n * 5.1) nA = 5.1 + (-5.1 + 5.1n) Combine like terms: 5.1 + -5.1 = 0.0 nA = 0.0 + 5.1n nA = 5.1n Solving nA = 5.1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5.1n' to each side of the equation. -5.1n + nA = 5.1n + -5.1n Combine like terms: 5.1n + -5.1n = 0.0 -5.1n + nA = 0.0 Factor out the Greatest Common Factor (GCF), 'n'. n(-5.1 + A) = 0.0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(-5.1 + A)' equal to zero and attempt to solve: Simplifying -5.1 + A = 0 Solving -5.1 + A = 0 Move all terms containing n to the left, all other terms to the right. Add '5.1' to each side of the equation. -5.1 + 5.1 + A = 0 + 5.1 Combine like terms: -5.1 + 5.1 = 0.0 0.0 + A = 0 + 5.1 A = 0 + 5.1 Combine like terms: 0 + 5.1 = 5.1 A = 5.1 Add '-1A' to each side of the equation. A + -1A = 5.1 + -1A Combine like terms: A + -1A = 0 0 = 5.1 + -1A Simplifying 0 = 5.1 + -1A The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
n = {0}
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