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Simplifying 8e9t = 10e8t Solving 8e9t = 10e8t Solving for variable 'e'. Reorder the terms: -10e8t + 8e9t = 10e8t + -10e8t Combine like terms: 10e8t + -10e8t = 0 -10e8t + 8e9t = 0 Factor out the Greatest Common Factor (GCF), '2e8t'. 2e8t(-5 + 4e) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'e8t' equal to zero and attempt to solve: Simplifying e8t = 0 Solving e8t = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e8t = 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 '(-5 + 4e)' equal to zero and attempt to solve: Simplifying -5 + 4e = 0 Solving -5 + 4e = 0 Move all terms containing e to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 4e = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4e = 0 + 5 4e = 0 + 5 Combine like terms: 0 + 5 = 5 4e = 5 Divide each side by '4'. e = 1.25 Simplifying e = 1.25Solution
e = {1.25}
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