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Simplifying 36pi = 4pir2 Solving 36ip = 4ipr2 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4ipr2' to each side of the equation. 36ip + -4ipr2 = 4ipr2 + -4ipr2 Combine like terms: 4ipr2 + -4ipr2 = 0 36ip + -4ipr2 = 0 Factor out the Greatest Common Factor (GCF), '4ip'. 4ip(9 + -1r2) = 0 Factor a difference between two squares. 4ip((3 + r)(3 + -1r)) = 0 Ignore the factor 4.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 '(3 + r)' equal to zero and attempt to solve: Simplifying 3 + r = 0 Solving 3 + r = 0 Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + r = 0 + -3 r = 0 + -3 Combine like terms: 0 + -3 = -3 r = -3 Add '-1r' to each side of the equation. r + -1r = -3 + -1r Combine like terms: r + -1r = 0 0 = -3 + -1r Simplifying 0 = -3 + -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 '(3 + -1r)' equal to zero and attempt to solve: Simplifying 3 + -1r = 0 Solving 3 + -1r = 0 Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1r = 0 + -3 -1r = 0 + -3 Combine like terms: 0 + -3 = -3 -1r = -3 Add 'r' to each side of the equation. -1r + r = -3 + r Combine like terms: -1r + r = 0 0 = -3 + r Simplifying 0 = -3 + 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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