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Simplifying 4e8x + 8 = 6 Reorder the terms: 8 + 4e8x = 6 Solving 8 + 4e8x = 6 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 + 4e8x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 4e8x = 6 + -8 4e8x = 6 + -8 Combine like terms: 6 + -8 = -2 4e8x = -2 Divide each side by '4x'. e8 = -0.5x-1 Simplifying e8 = -0.5x-1 Combine like terms: -0.5x-1 + 0.5x-1 = 0.0 e8 + 0.5x-1 = 0.0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e8x + 0.5) = 0.0Subproblem 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 '(e8x + 0.5)' equal to zero and attempt to solve: Simplifying e8x + 0.5 = 0 Reorder the terms: 0.5 + e8x = 0 Solving 0.5 + e8x = 0 Move all terms containing e to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + e8x = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + e8x = 0 + -0.5 e8x = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 e8x = -0.5 Divide each side by 'x'. e8 = -0.5x-1 Simplifying e8 = -0.5x-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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