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Simplifying 47 = 5 + 2e3x Solving 47 = 5 + 2e3x Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-2e3x' to each side of the equation. 47 + -2e3x = 5 + 2e3x + -2e3x Combine like terms: 2e3x + -2e3x = 0 47 + -2e3x = 5 + 0 47 + -2e3x = 5 Add '-47' to each side of the equation. 47 + -47 + -2e3x = 5 + -47 Combine like terms: 47 + -47 = 0 0 + -2e3x = 5 + -47 -2e3x = 5 + -47 Combine like terms: 5 + -47 = -42 -2e3x = -42 Divide each side by '-2x'. e3 = 21x-1 Simplifying e3 = 21x-1 Combine like terms: 21x-1 + -21x-1 = 0 e3 + -21x-1 = 0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e3x + -21) = 0Subproblem 1
Set the factor 'x-1' equal to zero and attempt to solve: Simplifying x-1 = 0 Solving x-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1x-1' to each side of the equation. x-1 + -1x-1 = 0 + -1x-1 Remove the zero: 0 = -1x-1 Simplifying 0 = -1x-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 '(e3x + -21)' equal to zero and attempt to solve: Simplifying e3x + -21 = 0 Reorder the terms: -21 + e3x = 0 Solving -21 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + e3x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + e3x = 0 + 21 e3x = 0 + 21 Combine like terms: 0 + 21 = 21 e3x = 21 Divide each side by 'x'. e3 = 21x-1 Simplifying e3 = 21x-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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