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Simplifying 5 = 2e2t Solving 5 = 2e2t Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-2e2t' to each side of the equation. 5 + -2e2t = 2e2t + -2e2t Combine like terms: 2e2t + -2e2t = 0 5 + -2e2t = 0 Add '-5' to each side of the equation. 5 + -5 + -2e2t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2e2t = 0 + -5 -2e2t = 0 + -5 Combine like terms: 0 + -5 = -5 -2e2t = -5 Divide each side by '-2t'. e2 = 2.5t-1 Simplifying e2 = 2.5t-1 Combine like terms: 2.5t-1 + -2.5t-1 = 0.0 e2 + -2.5t-1 = 0.0 Factor out the Greatest Common Factor (GCF), 't-1'. t-1(e2t + -2.5) = 0.0Subproblem 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 '(e2t + -2.5)' equal to zero and attempt to solve: Simplifying e2t + -2.5 = 0 Reorder the terms: -2.5 + e2t = 0 Solving -2.5 + e2t = 0 Move all terms containing e to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + e2t = 0 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + e2t = 0 + 2.5 e2t = 0 + 2.5 Combine like terms: 0 + 2.5 = 2.5 e2t = 2.5 Divide each side by 't'. e2 = 2.5t-1 Simplifying e2 = 2.5t-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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