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Simplifying 2pir2 + 2pirh = 4pir2h Reorder the terms: 2hipr + 2ipr2 = 4pir2h Solving 2hipr + 2ipr2 = 4hipr2 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-4hipr2' to each side of the equation. 2hipr + -4hipr2 + 2ipr2 = 4hipr2 + -4hipr2 Combine like terms: 4hipr2 + -4hipr2 = 0 2hipr + -4hipr2 + 2ipr2 = 0 Add '-2ipr2' to each side of the equation. 2hipr + -4hipr2 + 2ipr2 + -2ipr2 = 0 + -2ipr2 Combine like terms: 2ipr2 + -2ipr2 = 0 2hipr + -4hipr2 + 0 = 0 + -2ipr2 2hipr + -4hipr2 = 0 + -2ipr2 Remove the zero: 2hipr + -4hipr2 = -2ipr2 Combine like terms: -2ipr2 + 2ipr2 = 0 2hipr + -4hipr2 + 2ipr2 = 0 Factor out the Greatest Common Factor (GCF), '2ipr'. 2ipr(h + -2hr + r) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'ipr' equal to zero and attempt to solve: Simplifying ipr = 0 Solving ipr = 0 Move all terms containing h to the left, all other terms to the right. Add '-1ipr' to each side of the equation. ipr + -1ipr = 0 + -1ipr Remove the zero: 0 = -1ipr Simplifying 0 = -1ipr 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 '(h + -2hr + r)' equal to zero and attempt to solve: Simplifying h + -2hr + r = 0 Solving h + -2hr + r = 0 Move all terms containing h to the left, all other terms to the right. Add '-1r' to each side of the equation. h + -2hr + r + -1r = 0 + -1r Combine like terms: r + -1r = 0 h + -2hr + 0 = 0 + -1r h + -2hr = 0 + -1r Remove the zero: h + -2hr = -1r 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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