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Simplifying 120pi = 2pir(10) Reorder the terms for easier multiplication: 120ip = 2 * 10ipr Multiply 2 * 10 120ip = 20ipr Solving 120ip = 20ipr Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-20ipr' to each side of the equation. 120ip + -20ipr = 20ipr + -20ipr Combine like terms: 20ipr + -20ipr = 0 120ip + -20ipr = 0 Factor out the Greatest Common Factor (GCF), '20ip'. 20ip(6 + -1r) = 0 Ignore the factor 20.Subproblem 1
Set the factor 'ip' equal to zero and attempt to solve: Simplifying ip = 0 Solving ip = 0 Move all terms containing i to the left, all other terms to the right. Simplifying ip = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(6 + -1r)' equal to zero and attempt to solve: Simplifying 6 + -1r = 0 Solving 6 + -1r = 0 Move all terms containing i to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1r = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1r = 0 + -6 -1r = 0 + -6 Combine like terms: 0 + -6 = -6 -1r = -6 Add 'r' to each side of the equation. -1r + r = -6 + r Combine like terms: -1r + r = 0 0 = -6 + r Simplifying 0 = -6 + r The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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