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Simplifying 4e3x + 2 = 78 Reorder the terms: 2 + 4e3x = 78 Solving 2 + 4e3x = 78 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 4e3x = 78 + -2 Combine like terms: 2 + -2 = 0 0 + 4e3x = 78 + -2 4e3x = 78 + -2 Combine like terms: 78 + -2 = 76 4e3x = 76 Divide each side by '4x'. e3 = 19x-1 Simplifying e3 = 19x-1 Combine like terms: 19x-1 + -19x-1 = 0 e3 + -19x-1 = 0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e3x + -19) = 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 + -19)' equal to zero and attempt to solve: Simplifying e3x + -19 = 0 Reorder the terms: -19 + e3x = 0 Solving -19 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + e3x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + e3x = 0 + 19 e3x = 0 + 19 Combine like terms: 0 + 19 = 19 e3x = 19 Divide each side by 'x'. e3 = 19x-1 Simplifying e3 = 19x-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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