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Simplifying 8 = e3x + -1 Reorder the terms: 8 = -1 + e3x Solving 8 = -1 + e3x Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-1e3x' to each side of the equation. 8 + -1e3x = -1 + e3x + -1e3x Combine like terms: e3x + -1e3x = 0 8 + -1e3x = -1 + 0 8 + -1e3x = -1 Add '-8' to each side of the equation. 8 + -8 + -1e3x = -1 + -8 Combine like terms: 8 + -8 = 0 0 + -1e3x = -1 + -8 -1e3x = -1 + -8 Combine like terms: -1 + -8 = -9 -1e3x = -9 Divide each side by '-1x'. e3 = 9x-1 Simplifying e3 = 9x-1 Combine like terms: 9x-1 + -9x-1 = 0 e3 + -9x-1 = 0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e3x + -9) = 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 + -9)' equal to zero and attempt to solve: Simplifying e3x + -9 = 0 Reorder the terms: -9 + e3x = 0 Solving -9 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + e3x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + e3x = 0 + 9 e3x = 0 + 9 Combine like terms: 0 + 9 = 9 e3x = 9 Divide each side by 'x'. e3 = 9x-1 Simplifying e3 = 9x-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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