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Simplifying 16 = 8e3x + 1 Reorder the terms: 16 = 1 + 8e3x Solving 16 = 1 + 8e3x Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-8e3x' to each side of the equation. 16 + -8e3x = 1 + 8e3x + -8e3x Combine like terms: 8e3x + -8e3x = 0 16 + -8e3x = 1 + 0 16 + -8e3x = 1 Add '-16' to each side of the equation. 16 + -16 + -8e3x = 1 + -16 Combine like terms: 16 + -16 = 0 0 + -8e3x = 1 + -16 -8e3x = 1 + -16 Combine like terms: 1 + -16 = -15 -8e3x = -15 Divide each side by '-8x'. e3 = 1.875x-1 Simplifying e3 = 1.875x-1 Combine like terms: 1.875x-1 + -1.875x-1 = 0.000 e3 + -1.875x-1 = 0.000 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e3x + -1.875) = 0.000Subproblem 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 + -1.875)' equal to zero and attempt to solve: Simplifying e3x + -1.875 = 0 Reorder the terms: -1.875 + e3x = 0 Solving -1.875 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '1.875' to each side of the equation. -1.875 + 1.875 + e3x = 0 + 1.875 Combine like terms: -1.875 + 1.875 = 0.000 0.000 + e3x = 0 + 1.875 e3x = 0 + 1.875 Combine like terms: 0 + 1.875 = 1.875 e3x = 1.875 Divide each side by 'x'. e3 = 1.875x-1 Simplifying e3 = 1.875x-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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