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Simplifying e5t + 1 = 0 Reorder the terms: 1 + e5t = 0 Solving 1 + e5t = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + e5t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + e5t = 0 + -1 e5t = 0 + -1 Combine like terms: 0 + -1 = -1 e5t = -1 Divide each side by 't'. e5 = -1t-1 Simplifying e5 = -1t-1 Combine like terms: -1t-1 + t-1 = 0 e5 + t-1 = 0 Factor out the Greatest Common Factor (GCF), 't-1'. t-1(e5t + 1) = 0Subproblem 1
Set the factor 't-1' equal to zero and attempt to solve: Simplifying t-1 = 0 Solving t-1 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1t-1' to each side of the equation. t-1 + -1t-1 = 0 + -1t-1 Remove the zero: 0 = -1t-1 Simplifying 0 = -1t-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 '(e5t + 1)' equal to zero and attempt to solve: Simplifying e5t + 1 = 0 Reorder the terms: 1 + e5t = 0 Solving 1 + e5t = 0 Move all terms containing e to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + e5t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + e5t = 0 + -1 e5t = 0 + -1 Combine like terms: 0 + -1 = -1 e5t = -1 Divide each side by 't'. e5 = -1t-1 Simplifying e5 = -1t-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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