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Simplifying 322pi = 2pir2 + 2pir * 10 Reorder the terms for easier multiplication: 322ip = 2ipr2 + 2 * 10ipr Multiply 2 * 10 322ip = 2ipr2 + 20ipr Reorder the terms: 322ip = 20ipr + 2ipr2 Solving 322ip = 20ipr + 2ipr2 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. 322ip + -20ipr = 20ipr + -20ipr + 2ipr2 Combine like terms: 20ipr + -20ipr = 0 322ip + -20ipr = 0 + 2ipr2 322ip + -20ipr = 2ipr2 Add '-2ipr2' to each side of the equation. 322ip + -20ipr + -2ipr2 = 2ipr2 + -2ipr2 Combine like terms: 2ipr2 + -2ipr2 = 0 322ip + -20ipr + -2ipr2 = 0 Factor out the Greatest Common Factor (GCF), '2ip'. 2ip(161 + -10r + -1r2) = 0 Ignore the factor 2.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 '(161 + -10r + -1r2)' equal to zero and attempt to solve: Simplifying 161 + -10r + -1r2 = 0 Solving 161 + -10r + -1r2 = 0 Move all terms containing i to the left, all other terms to the right. Add '-161' to each side of the equation. 161 + -10r + -161 + -1r2 = 0 + -161 Reorder the terms: 161 + -161 + -10r + -1r2 = 0 + -161 Combine like terms: 161 + -161 = 0 0 + -10r + -1r2 = 0 + -161 -10r + -1r2 = 0 + -161 Combine like terms: 0 + -161 = -161 -10r + -1r2 = -161 Add '10r' to each side of the equation. -10r + 10r + -1r2 = -161 + 10r Combine like terms: -10r + 10r = 0 0 + -1r2 = -161 + 10r -1r2 = -161 + 10r Add 'r2' to each side of the equation. -1r2 + r2 = -161 + 10r + r2 Combine like terms: -1r2 + r2 = 0 0 = -161 + 10r + r2 Simplifying 0 = -161 + 10r + r2 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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