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Simplifying 8e3x + 12 = 25 Reorder the terms: 12 + 8e3x = 25 Solving 12 + 8e3x = 25 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 8e3x = 25 + -12 Combine like terms: 12 + -12 = 0 0 + 8e3x = 25 + -12 8e3x = 25 + -12 Combine like terms: 25 + -12 = 13 8e3x = 13 Divide each side by '8x'. e3 = 1.625x-1 Simplifying e3 = 1.625x-1 Combine like terms: 1.625x-1 + -1.625x-1 = 0.000 e3 + -1.625x-1 = 0.000 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e3x + -1.625) = 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 + -1.625)' equal to zero and attempt to solve: Simplifying e3x + -1.625 = 0 Reorder the terms: -1.625 + e3x = 0 Solving -1.625 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '1.625' to each side of the equation. -1.625 + 1.625 + e3x = 0 + 1.625 Combine like terms: -1.625 + 1.625 = 0.000 0.000 + e3x = 0 + 1.625 e3x = 0 + 1.625 Combine like terms: 0 + 1.625 = 1.625 e3x = 1.625 Divide each side by 'x'. e3 = 1.625x-1 Simplifying e3 = 1.625x-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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