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Simplifying 24 = 4e2x + -1 Reorder the terms: 24 = -1 + 4e2x Solving 24 = -1 + 4e2x Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-4e2x' to each side of the equation. 24 + -4e2x = -1 + 4e2x + -4e2x Combine like terms: 4e2x + -4e2x = 0 24 + -4e2x = -1 + 0 24 + -4e2x = -1 Add '-24' to each side of the equation. 24 + -24 + -4e2x = -1 + -24 Combine like terms: 24 + -24 = 0 0 + -4e2x = -1 + -24 -4e2x = -1 + -24 Combine like terms: -1 + -24 = -25 -4e2x = -25 Divide each side by '-4x'. e2 = 6.25x-1 Simplifying e2 = 6.25x-1 Combine like terms: 6.25x-1 + -6.25x-1 = 0.00 e2 + -6.25x-1 = 0.00 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e2x + -6.25) = 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 + -6.25)' equal to zero and attempt to solve: Simplifying e2x + -6.25 = 0 Reorder the terms: -6.25 + e2x = 0 Solving -6.25 + e2x = 0 Move all terms containing e to the left, all other terms to the right. Add '6.25' to each side of the equation. -6.25 + 6.25 + e2x = 0 + 6.25 Combine like terms: -6.25 + 6.25 = 0.00 0.00 + e2x = 0 + 6.25 e2x = 0 + 6.25 Combine like terms: 0 + 6.25 = 6.25 e2x = 6.25 Divide each side by 'x'. e2 = 6.25x-1 Simplifying e2 = 6.25x-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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