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Simplifying 144pi = pir2 Solving 144ip = ipr2 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1ipr2' to each side of the equation. 144ip + -1ipr2 = ipr2 + -1ipr2 Combine like terms: ipr2 + -1ipr2 = 0 144ip + -1ipr2 = 0 Factor out the Greatest Common Factor (GCF), 'ip'. ip(144 + -1r2) = 0 Factor a difference between two squares. ip((12 + r)(12 + -1r)) = 0Subproblem 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 '(12 + r)' equal to zero and attempt to solve: Simplifying 12 + r = 0 Solving 12 + r = 0 Move all terms containing i to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + r = 0 + -12 Combine like terms: 12 + -12 = 0 0 + r = 0 + -12 r = 0 + -12 Combine like terms: 0 + -12 = -12 r = -12 Add '-1r' to each side of the equation. r + -1r = -12 + -1r Combine like terms: r + -1r = 0 0 = -12 + -1r Simplifying 0 = -12 + -1r The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(12 + -1r)' equal to zero and attempt to solve: Simplifying 12 + -1r = 0 Solving 12 + -1r = 0 Move all terms containing i to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1r = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1r = 0 + -12 -1r = 0 + -12 Combine like terms: 0 + -12 = -12 -1r = -12 Add 'r' to each side of the equation. -1r + r = -12 + r Combine like terms: -1r + r = 0 0 = -12 + r Simplifying 0 = -12 + 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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