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Simplifying 4e4x + 8 = 21 Reorder the terms: 8 + 4e4x = 21 Solving 8 + 4e4x = 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 + 4e4x = 21 + -8 Combine like terms: 8 + -8 = 0 0 + 4e4x = 21 + -8 4e4x = 21 + -8 Combine like terms: 21 + -8 = 13 4e4x = 13 Divide each side by '4x'. e4 = 3.25x-1 Simplifying e4 = 3.25x-1 Combine like terms: 3.25x-1 + -3.25x-1 = 0.00 e4 + -3.25x-1 = 0.00 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e4x + -3.25) = 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 '(e4x + -3.25)' equal to zero and attempt to solve: Simplifying e4x + -3.25 = 0 Reorder the terms: -3.25 + e4x = 0 Solving -3.25 + e4x = 0 Move all terms containing e to the left, all other terms to the right. Add '3.25' to each side of the equation. -3.25 + 3.25 + e4x = 0 + 3.25 Combine like terms: -3.25 + 3.25 = 0.00 0.00 + e4x = 0 + 3.25 e4x = 0 + 3.25 Combine like terms: 0 + 3.25 = 3.25 e4x = 3.25 Divide each side by 'x'. e4 = 3.25x-1 Simplifying e4 = 3.25x-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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