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Simplifying 2pr2 + 2prh = 4pr2h Reorder the terms: 2hpr + 2pr2 = 4pr2h Solving 2hpr + 2pr2 = 4hpr2 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-4hpr2' to each side of the equation. 2hpr + -4hpr2 + 2pr2 = 4hpr2 + -4hpr2 Combine like terms: 4hpr2 + -4hpr2 = 0 2hpr + -4hpr2 + 2pr2 = 0 Add '-2pr2' to each side of the equation. 2hpr + -4hpr2 + 2pr2 + -2pr2 = 0 + -2pr2 Combine like terms: 2pr2 + -2pr2 = 0 2hpr + -4hpr2 + 0 = 0 + -2pr2 2hpr + -4hpr2 = 0 + -2pr2 Remove the zero: 2hpr + -4hpr2 = -2pr2 Combine like terms: -2pr2 + 2pr2 = 0 2hpr + -4hpr2 + 2pr2 = 0 Factor out the Greatest Common Factor (GCF), '2pr'. 2pr(h + -2hr + r) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'pr' equal to zero and attempt to solve: Simplifying pr = 0 Solving pr = 0 Move all terms containing h to the left, all other terms to the right. Add '-1pr' to each side of the equation. pr + -1pr = 0 + -1pr Remove the zero: 0 = -1pr Simplifying 0 = -1pr 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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