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Simplifying e2t + 3 = 19 Reorder the terms: 3 + e2t = 19 Solving 3 + e2t = 19 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + e2t = 19 + -3 Combine like terms: 3 + -3 = 0 0 + e2t = 19 + -3 e2t = 19 + -3 Combine like terms: 19 + -3 = 16 e2t = 16 Divide each side by 't'. e2 = 16t-1 Simplifying e2 = 16t-1 Combine like terms: 16t-1 + -16t-1 = 0 e2 + -16t-1 = 0 Factor out the Greatest Common Factor (GCF), 't-1'. t-1(e2t + -16) = 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 + -16)' equal to zero and attempt to solve: Simplifying e2t + -16 = 0 Reorder the terms: -16 + e2t = 0 Solving -16 + e2t = 0 Move all terms containing e to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + e2t = 0 + 16 Combine like terms: -16 + 16 = 0 0 + e2t = 0 + 16 e2t = 0 + 16 Combine like terms: 0 + 16 = 16 e2t = 16 Divide each side by 't'. e2 = 16t-1 Simplifying e2 = 16t-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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