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Simplifying 64pi = 4pir2 Solving 64ip = 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. 64ip + -4ipr2 = 4ipr2 + -4ipr2 Combine like terms: 4ipr2 + -4ipr2 = 0 64ip + -4ipr2 = 0 Factor out the Greatest Common Factor (GCF), '4ip'. 4ip(16 + -1r2) = 0 Factor a difference between two squares. 4ip((4 + r)(4 + -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 '(4 + r)' equal to zero and attempt to solve: Simplifying 4 + r = 0 Solving 4 + r = 0 Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + r = 0 + -4 r = 0 + -4 Combine like terms: 0 + -4 = -4 r = -4 Add '-1r' to each side of the equation. r + -1r = -4 + -1r Combine like terms: r + -1r = 0 0 = -4 + -1r Simplifying 0 = -4 + -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 '(4 + -1r)' equal to zero and attempt to solve: Simplifying 4 + -1r = 0 Solving 4 + -1r = 0 Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1r = 0 + -4 -1r = 0 + -4 Combine like terms: 0 + -4 = -4 -1r = -4 Add 'r' to each side of the equation. -1r + r = -4 + r Combine like terms: -1r + r = 0 0 = -4 + r Simplifying 0 = -4 + 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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