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Simplifying 5e3x + 6 = 2 Reorder the terms: 6 + 5e3x = 2 Solving 6 + 5e3x = 2 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5e3x = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 5e3x = 2 + -6 5e3x = 2 + -6 Combine like terms: 2 + -6 = -4 5e3x = -4 Divide each side by '5x'. e3 = -0.8x-1 Simplifying e3 = -0.8x-1 Combine like terms: -0.8x-1 + 0.8x-1 = 0.0 e3 + 0.8x-1 = 0.0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e3x + 0.8) = 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 + 0.8)' equal to zero and attempt to solve: Simplifying e3x + 0.8 = 0 Reorder the terms: 0.8 + e3x = 0 Solving 0.8 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + e3x = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + e3x = 0 + -0.8 e3x = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 e3x = -0.8 Divide each side by 'x'. e3 = -0.8x-1 Simplifying e3 = -0.8x-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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