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Simplifying 3e4t = 7e3t Solving 3e4t = 7e3t Solving for variable 'e'. Reorder the terms: -7e3t + 3e4t = 7e3t + -7e3t Combine like terms: 7e3t + -7e3t = 0 -7e3t + 3e4t = 0 Factor out the Greatest Common Factor (GCF), 'e3t'. e3t(-7 + 3e) = 0Subproblem 1
Set the factor 'e3t' equal to zero and attempt to solve: Simplifying e3t = 0 Solving e3t = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e3t = 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 '(-7 + 3e)' equal to zero and attempt to solve: Simplifying -7 + 3e = 0 Solving -7 + 3e = 0 Move all terms containing e to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 3e = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3e = 0 + 7 3e = 0 + 7 Combine like terms: 0 + 7 = 7 3e = 7 Divide each side by '3'. e = 2.333333333 Simplifying e = 2.333333333Solution
e = {2.333333333}
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