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Simplifying 2pi * r2 + 2pi * r * 20 = 1000cm2 Multiply ip * r2 2ipr2 + 2pi * r * 20 = 1000cm2 Reorder the terms for easier multiplication: 2ipr2 + 2 * 20ip * r = 1000cm2 Multiply 2 * 20 2ipr2 + 40ip * r = 1000cm2 Multiply ip * r 2ipr2 + 40ipr = 1000cm2 Reorder the terms: 40ipr + 2ipr2 = 1000cm2 Solving 40ipr + 2ipr2 = 1000cm2 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: -1000cm2 + 40ipr + 2ipr2 = 1000cm2 + -1000cm2 Combine like terms: 1000cm2 + -1000cm2 = 0 -1000cm2 + 40ipr + 2ipr2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-500cm2 + 20ipr + ipr2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-500cm2 + 20ipr + ipr2)' equal to zero and attempt to solve: Simplifying -500cm2 + 20ipr + ipr2 = 0 Solving -500cm2 + 20ipr + ipr2 = 0 Move all terms containing i to the left, all other terms to the right. Add '500cm2' to each side of the equation. -500cm2 + 20ipr + 500cm2 + ipr2 = 0 + 500cm2 Reorder the terms: -500cm2 + 500cm2 + 20ipr + ipr2 = 0 + 500cm2 Combine like terms: -500cm2 + 500cm2 = 0 0 + 20ipr + ipr2 = 0 + 500cm2 20ipr + ipr2 = 0 + 500cm2 Remove the zero: 20ipr + ipr2 = 500cm2 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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