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Simplifying 200 = 2pir2 + 2pir(5) Reorder the terms for easier multiplication: 200 = 2ipr2 + 2 * 5ipr Multiply 2 * 5 200 = 2ipr2 + 10ipr Reorder the terms: 200 = 10ipr + 2ipr2 Solving 200 = 10ipr + 2ipr2 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-10ipr' to each side of the equation. 200 + -10ipr = 10ipr + -10ipr + 2ipr2 Combine like terms: 10ipr + -10ipr = 0 200 + -10ipr = 0 + 2ipr2 200 + -10ipr = 2ipr2 Add '-2ipr2' to each side of the equation. 200 + -10ipr + -2ipr2 = 2ipr2 + -2ipr2 Combine like terms: 2ipr2 + -2ipr2 = 0 200 + -10ipr + -2ipr2 = 0 Add '-200' to each side of the equation. 200 + -10ipr + -200 + -2ipr2 = 0 + -200 Reorder the terms: 200 + -200 + -10ipr + -2ipr2 = 0 + -200 Combine like terms: 200 + -200 = 0 0 + -10ipr + -2ipr2 = 0 + -200 -10ipr + -2ipr2 = 0 + -200 Combine like terms: 0 + -200 = -200 -10ipr + -2ipr2 = -200 Reorder the terms: 200 + -10ipr + -2ipr2 = -200 + 200 Combine like terms: -200 + 200 = 0 200 + -10ipr + -2ipr2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(100 + -5ipr + -1ipr2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(100 + -5ipr + -1ipr2)' equal to zero and attempt to solve: Simplifying 100 + -5ipr + -1ipr2 = 0 Solving 100 + -5ipr + -1ipr2 = 0 Move all terms containing i to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -5ipr + -100 + -1ipr2 = 0 + -100 Reorder the terms: 100 + -100 + -5ipr + -1ipr2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -5ipr + -1ipr2 = 0 + -100 -5ipr + -1ipr2 = 0 + -100 Combine like terms: 0 + -100 = -100 -5ipr + -1ipr2 = -100 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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