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Simplifying 6e2x + -3.5 = 28 Reorder the terms: -3.5 + 6e2x = 28 Solving -3.5 + 6e2x = 28 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '3.5' to each side of the equation. -3.5 + 3.5 + 6e2x = 28 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + 6e2x = 28 + 3.5 6e2x = 28 + 3.5 Combine like terms: 28 + 3.5 = 31.5 6e2x = 31.5 Divide each side by '6x'. e2 = 5.25x-1 Simplifying e2 = 5.25x-1 Combine like terms: 5.25x-1 + -5.25x-1 = 0.00 e2 + -5.25x-1 = 0.00 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e2x + -5.25) = 0.00Subproblem 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 '(e2x + -5.25)' equal to zero and attempt to solve: Simplifying e2x + -5.25 = 0 Reorder the terms: -5.25 + e2x = 0 Solving -5.25 + e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '5.25' to each side of the equation. -5.25 + 5.25 + e2x = 0 + 5.25 Combine like terms: -5.25 + 5.25 = 0.00 0.00 + e2x = 0 + 5.25 e2x = 0 + 5.25 Combine like terms: 0 + 5.25 = 5.25 e2x = 5.25 Divide each side by 'x'. e2 = 5.25x-1 Simplifying e2 = 5.25x-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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