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Simplifying 6e3x + -1 = 24 Reorder the terms: -1 + 6e3x = 24 Solving -1 + 6e3x = 24 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 6e3x = 24 + 1 Combine like terms: -1 + 1 = 0 0 + 6e3x = 24 + 1 6e3x = 24 + 1 Combine like terms: 24 + 1 = 25 6e3x = 25 Divide each side by '6x'. e3 = 4.166666667x-1 Simplifying e3 = 4.166666667x-1 Combine like terms: 4.166666667x-1 + -4.166666667x-1 = 0.000000000 e3 + -4.166666667x-1 = 0.000000000 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e3x + -4.166666667) = 0.000000000Subproblem 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 + -4.166666667)' equal to zero and attempt to solve: Simplifying e3x + -4.166666667 = 0 Reorder the terms: -4.166666667 + e3x = 0 Solving -4.166666667 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '4.166666667' to each side of the equation. -4.166666667 + 4.166666667 + e3x = 0 + 4.166666667 Combine like terms: -4.166666667 + 4.166666667 = 0.000000000 0.000000000 + e3x = 0 + 4.166666667 e3x = 0 + 4.166666667 Combine like terms: 0 + 4.166666667 = 4.166666667 e3x = 4.166666667 Divide each side by 'x'. e3 = 4.166666667x-1 Simplifying e3 = 4.166666667x-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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