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Simplifying pi * r2 + 10pi * r = 96pi Multiply ip * r2 ipr2 + 10pi * r = 96pi Multiply ip * r ipr2 + 10ipr = 96pi Reorder the terms: 10ipr + ipr2 = 96pi Solving 10ipr + ipr2 = 96ip Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-96ip' to each side of the equation. 10ipr + -96ip + ipr2 = 96ip + -96ip Reorder the terms: -96ip + 10ipr + ipr2 = 96ip + -96ip Combine like terms: 96ip + -96ip = 0 -96ip + 10ipr + ipr2 = 0 Factor out the Greatest Common Factor (GCF), 'ip'. ip(-96 + 10r + r2) = 0 Factor a trinomial. ip((-16 + -1r)(6 + -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 '(-16 + -1r)' equal to zero and attempt to solve: Simplifying -16 + -1r = 0 Solving -16 + -1r = 0 Move all terms containing i to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1r = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1r = 0 + 16 -1r = 0 + 16 Combine like terms: 0 + 16 = 16 -1r = 16 Add 'r' to each side of the equation. -1r + r = 16 + r Combine like terms: -1r + r = 0 0 = 16 + r Simplifying 0 = 16 + r 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 '(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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