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Simplifying 3 = e10r Solving 3 = e10r Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-1e10r' to each side of the equation. 3 + -1e10r = e10r + -1e10r Combine like terms: e10r + -1e10r = 0 3 + -1e10r = 0 Add '-3' to each side of the equation. 3 + -3 + -1e10r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1e10r = 0 + -3 -1e10r = 0 + -3 Combine like terms: 0 + -3 = -3 -1e10r = -3 Divide each side by '-1r'. e10 = 3r-1 Simplifying e10 = 3r-1 Combine like terms: 3r-1 + -3r-1 = 0 e10 + -3r-1 = 0 Factor out the Greatest Common Factor (GCF), 'r-1'. r-1(e10r + -3) = 0Subproblem 1
Set the factor 'r-1' equal to zero and attempt to solve: Simplifying r-1 = 0 Solving r-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1r-1' to each side of the equation. r-1 + -1r-1 = 0 + -1r-1 Remove the zero: 0 = -1r-1 Simplifying 0 = -1r-1 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 '(e10r + -3)' equal to zero and attempt to solve: Simplifying e10r + -3 = 0 Reorder the terms: -3 + e10r = 0 Solving -3 + e10r = 0 Move all terms containing e to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + e10r = 0 + 3 Combine like terms: -3 + 3 = 0 0 + e10r = 0 + 3 e10r = 0 + 3 Combine like terms: 0 + 3 = 3 e10r = 3 Divide each side by 'r'. e10 = 3r-1 Simplifying e10 = 3r-1 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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