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Simplifying 7e3x = 9e2x Solving 7e3x = 9e2x Solving for variable 'e'. Reorder the terms: -9e2x + 7e3x = 9e2x + -9e2x Combine like terms: 9e2x + -9e2x = 0 -9e2x + 7e3x = 0 Factor out the Greatest Common Factor (GCF), 'e2x'. e2x(-9 + 7e) = 0Subproblem 1
Set the factor 'e2x' equal to zero and attempt to solve: Simplifying e2x = 0 Solving e2x = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e2x = 0 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 '(-9 + 7e)' equal to zero and attempt to solve: Simplifying -9 + 7e = 0 Solving -9 + 7e = 0 Move all terms containing e to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 7e = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 7e = 0 + 9 7e = 0 + 9 Combine like terms: 0 + 9 = 9 7e = 9 Divide each side by '7'. e = 1.285714286 Simplifying e = 1.285714286Solution
e = {1.285714286}
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