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Simplifying 5e3x + 7 = 15 Reorder the terms: 7 + 5e3x = 15 Solving 7 + 5e3x = 15 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5e3x = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 5e3x = 15 + -7 5e3x = 15 + -7 Combine like terms: 15 + -7 = 8 5e3x = 8 Divide each side by '5x'. e3 = 1.6x-1 Simplifying e3 = 1.6x-1 Combine like terms: 1.6x-1 + -1.6x-1 = 0.0 e3 + -1.6x-1 = 0.0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e3x + -1.6) = 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 '(e3x + -1.6)' equal to zero and attempt to solve: Simplifying e3x + -1.6 = 0 Reorder the terms: -1.6 + e3x = 0 Solving -1.6 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '1.6' to each side of the equation. -1.6 + 1.6 + e3x = 0 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + e3x = 0 + 1.6 e3x = 0 + 1.6 Combine like terms: 0 + 1.6 = 1.6 e3x = 1.6 Divide each side by 'x'. e3 = 1.6x-1 Simplifying e3 = 1.6x-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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