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Simplifying e3x + 8 = 21 Reorder the terms: 8 + e3x = 21 Solving 8 + e3x = 21 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + e3x = 21 + -8 Combine like terms: 8 + -8 = 0 0 + e3x = 21 + -8 e3x = 21 + -8 Combine like terms: 21 + -8 = 13 e3x = 13 Divide each side by 'x'. e3 = 13x-1 Simplifying e3 = 13x-1 Combine like terms: 13x-1 + -13x-1 = 0 e3 + -13x-1 = 0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e3x + -13) = 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 + -13)' equal to zero and attempt to solve: Simplifying e3x + -13 = 0 Reorder the terms: -13 + e3x = 0 Solving -13 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + e3x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + e3x = 0 + 13 e3x = 0 + 13 Combine like terms: 0 + 13 = 13 e3x = 13 Divide each side by 'x'. e3 = 13x-1 Simplifying e3 = 13x-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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