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Simplifying -2e3x + 19 = 3 Reorder the terms: 19 + -2e3x = 3 Solving 19 + -2e3x = 3 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -2e3x = 3 + -19 Combine like terms: 19 + -19 = 0 0 + -2e3x = 3 + -19 -2e3x = 3 + -19 Combine like terms: 3 + -19 = -16 -2e3x = -16 Divide each side by '-2x'. e3 = 8x-1 Simplifying e3 = 8x-1 Combine like terms: 8x-1 + -8x-1 = 0 e3 + -8x-1 = 0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e3x + -8) = 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 + -8)' equal to zero and attempt to solve: Simplifying e3x + -8 = 0 Reorder the terms: -8 + e3x = 0 Solving -8 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + e3x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + e3x = 0 + 8 e3x = 0 + 8 Combine like terms: 0 + 8 = 8 e3x = 8 Divide each side by 'x'. e3 = 8x-1 Simplifying e3 = 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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