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Simplifying 2pi(8r) + 2pi(r2) = 40pi Remove parenthesis around (8r) 2ip * 8r + 2pi(r2) = 40pi Reorder the terms for easier multiplication: 2 * 8ip * r + 2pi(r2) = 40pi Multiply 2 * 8 16ip * r + 2pi(r2) = 40pi Multiply ip * r 16ipr + 2pi(r2) = 40pi Multiply ip * r2 16ipr + 2ipr2 = 40pi Solving 16ipr + 2ipr2 = 40ip Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-40ip' to each side of the equation. 16ipr + -40ip + 2ipr2 = 40ip + -40ip Reorder the terms: -40ip + 16ipr + 2ipr2 = 40ip + -40ip Combine like terms: 40ip + -40ip = 0 -40ip + 16ipr + 2ipr2 = 0 Factor out the Greatest Common Factor (GCF), '2ip'. 2ip(-20 + 8r + r2) = 0 Factor a trinomial. 2ip((-10 + -1r)(2 + -1r)) = 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 '(-10 + -1r)' equal to zero and attempt to solve: Simplifying -10 + -1r = 0 Solving -10 + -1r = 0 Move all terms containing i to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1r = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1r = 0 + 10 -1r = 0 + 10 Combine like terms: 0 + 10 = 10 -1r = 10 Add 'r' to each side of the equation. -1r + r = 10 + r Combine like terms: -1r + r = 0 0 = 10 + r Simplifying 0 = 10 + 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 '(2 + -1r)' equal to zero and attempt to solve: Simplifying 2 + -1r = 0 Solving 2 + -1r = 0 Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1r = 0 + -2 -1r = 0 + -2 Combine like terms: 0 + -2 = -2 -1r = -2 Add 'r' to each side of the equation. -1r + r = -2 + r Combine like terms: -1r + r = 0 0 = -2 + r Simplifying 0 = -2 + 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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