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Simplifying 500(pi) = (pi) * r2 + (pi)(r) * 15 Multiply ip * r2 500ip = ipr2 + (pi)(r) * 15 Reorder the terms for easier multiplication: 500ip = ipr2 + 15ip * r Multiply ip * r 500ip = ipr2 + 15ipr Reorder the terms: 500ip = 15ipr + ipr2 Solving 500ip = 15ipr + ipr2 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-15ipr' to each side of the equation. 500ip + -15ipr = 15ipr + -15ipr + ipr2 Combine like terms: 15ipr + -15ipr = 0 500ip + -15ipr = 0 + ipr2 500ip + -15ipr = ipr2 Add '-1ipr2' to each side of the equation. 500ip + -15ipr + -1ipr2 = ipr2 + -1ipr2 Combine like terms: ipr2 + -1ipr2 = 0 500ip + -15ipr + -1ipr2 = 0 Factor out the Greatest Common Factor (GCF), 'ip'. ip(500 + -15r + -1r2) = 0Subproblem 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 '(500 + -15r + -1r2)' equal to zero and attempt to solve: Simplifying 500 + -15r + -1r2 = 0 Solving 500 + -15r + -1r2 = 0 Move all terms containing i to the left, all other terms to the right. Add '-500' to each side of the equation. 500 + -15r + -500 + -1r2 = 0 + -500 Reorder the terms: 500 + -500 + -15r + -1r2 = 0 + -500 Combine like terms: 500 + -500 = 0 0 + -15r + -1r2 = 0 + -500 -15r + -1r2 = 0 + -500 Combine like terms: 0 + -500 = -500 -15r + -1r2 = -500 Add '15r' to each side of the equation. -15r + 15r + -1r2 = -500 + 15r Combine like terms: -15r + 15r = 0 0 + -1r2 = -500 + 15r -1r2 = -500 + 15r Add 'r2' to each side of the equation. -1r2 + r2 = -500 + 15r + r2 Combine like terms: -1r2 + r2 = 0 0 = -500 + 15r + r2 Simplifying 0 = -500 + 15r + r2 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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