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Simplifying 5 + 2e4t = 6e4t Solving 5 + 2e4t = 6e4t Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-6e4t' to each side of the equation. 5 + 2e4t + -6e4t = 6e4t + -6e4t Combine like terms: 2e4t + -6e4t = -4e4t 5 + -4e4t = 6e4t + -6e4t Combine like terms: 6e4t + -6e4t = 0 5 + -4e4t = 0 Add '-5' to each side of the equation. 5 + -5 + -4e4t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4e4t = 0 + -5 -4e4t = 0 + -5 Combine like terms: 0 + -5 = -5 -4e4t = -5 Divide each side by '-4t'. e4 = 1.25t-1 Simplifying e4 = 1.25t-1 Combine like terms: 1.25t-1 + -1.25t-1 = 0.00 e4 + -1.25t-1 = 0.00 Factor out the Greatest Common Factor (GCF), 't-1'. t-1(e4t + -1.25) = 0.00Subproblem 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 '(e4t + -1.25)' equal to zero and attempt to solve: Simplifying e4t + -1.25 = 0 Reorder the terms: -1.25 + e4t = 0 Solving -1.25 + e4t = 0 Move all terms containing e to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + e4t = 0 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + e4t = 0 + 1.25 e4t = 0 + 1.25 Combine like terms: 0 + 1.25 = 1.25 e4t = 1.25 Divide each side by 't'. e4 = 1.25t-1 Simplifying e4 = 1.25t-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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