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Simplifying 8e3x + 4 = 15 Reorder the terms: 4 + 8e3x = 15 Solving 4 + 8e3x = 15 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 8e3x = 15 + -4 Combine like terms: 4 + -4 = 0 0 + 8e3x = 15 + -4 8e3x = 15 + -4 Combine like terms: 15 + -4 = 11 8e3x = 11 Divide each side by '8x'. e3 = 1.375x-1 Simplifying e3 = 1.375x-1 Combine like terms: 1.375x-1 + -1.375x-1 = 0.000 e3 + -1.375x-1 = 0.000 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e3x + -1.375) = 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 + -1.375)' equal to zero and attempt to solve: Simplifying e3x + -1.375 = 0 Reorder the terms: -1.375 + e3x = 0 Solving -1.375 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '1.375' to each side of the equation. -1.375 + 1.375 + e3x = 0 + 1.375 Combine like terms: -1.375 + 1.375 = 0.000 0.000 + e3x = 0 + 1.375 e3x = 0 + 1.375 Combine like terms: 0 + 1.375 = 1.375 e3x = 1.375 Divide each side by 'x'. e3 = 1.375x-1 Simplifying e3 = 1.375x-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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