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Simplifying 2.5 = e4x Solving 2.5 = e4x Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-1e4x' to each side of the equation. 2.5 + -1e4x = e4x + -1e4x Combine like terms: e4x + -1e4x = 0 2.5 + -1e4x = 0 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -1e4x = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -1e4x = 0 + -2.5 -1e4x = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 -1e4x = -2.5 Divide each side by '-1x'. e4 = 2.5x-1 Simplifying e4 = 2.5x-1 Combine like terms: 2.5x-1 + -2.5x-1 = 0.0 e4 + -2.5x-1 = 0.0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(e4x + -2.5) = 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 '(e4x + -2.5)' equal to zero and attempt to solve: Simplifying e4x + -2.5 = 0 Reorder the terms: -2.5 + e4x = 0 Solving -2.5 + e4x = 0 Move all terms containing e to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + e4x = 0 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + e4x = 0 + 2.5 e4x = 0 + 2.5 Combine like terms: 0 + 2.5 = 2.5 e4x = 2.5 Divide each side by 'x'. e4 = 2.5x-1 Simplifying e4 = 2.5x-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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