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Simplifying (2e3x) + -8 = 21 Reorder the terms: -8 + (2e3x) = 21 Solving -8 + (2e3x) = 21 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + (2e3x) = 21 + 8 Combine like terms: -8 + 8 = 0 0 + (2e3x) = 21 + 8 (2e3x) = 21 + 8 Combine like terms: 21 + 8 = 29 (2e3x) = 29 Divide each side by '(2x)'. e3 = 14.5x-1 Simplifying e3 = 14.5x-1 Combine like terms: 14.5x-1 + -14.5x-1 = 0.0 e3 + -14.5x-1 = 0.0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e3x + -14.5) = 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 + -14.5)' equal to zero and attempt to solve: Simplifying e3x + -14.5 = 0 Reorder the terms: -14.5 + e3x = 0 Solving -14.5 + e3x = 0 Move all terms containing e to the left, all other terms to the right. Add '14.5' to each side of the equation. -14.5 + 14.5 + e3x = 0 + 14.5 Combine like terms: -14.5 + 14.5 = 0.0 0.0 + e3x = 0 + 14.5 e3x = 0 + 14.5 Combine like terms: 0 + 14.5 = 14.5 e3x = 14.5 Divide each side by 'x'. e3 = 14.5x-1 Simplifying e3 = 14.5x-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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