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Simplifying 5 = 8e20t Solving 5 = 8e20t Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-8e20t' to each side of the equation. 5 + -8e20t = 8e20t + -8e20t Combine like terms: 8e20t + -8e20t = 0 5 + -8e20t = 0 Add '-5' to each side of the equation. 5 + -5 + -8e20t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8e20t = 0 + -5 -8e20t = 0 + -5 Combine like terms: 0 + -5 = -5 -8e20t = -5 Divide each side by '-8t'. e20 = 0.625t-1 Simplifying e20 = 0.625t-1 Combine like terms: 0.625t-1 + -0.625t-1 = 0.000 e20 + -0.625t-1 = 0.000 Factor out the Greatest Common Factor (GCF), 't-1'. t-1(e20t + -0.625) = 0.000Subproblem 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 '(e20t + -0.625)' equal to zero and attempt to solve: Simplifying e20t + -0.625 = 0 Reorder the terms: -0.625 + e20t = 0 Solving -0.625 + e20t = 0 Move all terms containing e to the left, all other terms to the right. Add '0.625' to each side of the equation. -0.625 + 0.625 + e20t = 0 + 0.625 Combine like terms: -0.625 + 0.625 = 0.000 0.000 + e20t = 0 + 0.625 e20t = 0 + 0.625 Combine like terms: 0 + 0.625 = 0.625 e20t = 0.625 Divide each side by 't'. e20 = 0.625t-1 Simplifying e20 = 0.625t-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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