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Simplifying 20 = 12e2t Solving 20 = 12e2t Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-12e2t' to each side of the equation. 20 + -12e2t = 12e2t + -12e2t Combine like terms: 12e2t + -12e2t = 0 20 + -12e2t = 0 Add '-20' to each side of the equation. 20 + -20 + -12e2t = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -12e2t = 0 + -20 -12e2t = 0 + -20 Combine like terms: 0 + -20 = -20 -12e2t = -20 Divide each side by '-12t'. e2 = 1.666666667t-1 Simplifying e2 = 1.666666667t-1 Combine like terms: 1.666666667t-1 + -1.666666667t-1 = 0.000000000 e2 + -1.666666667t-1 = 0.000000000 Factor out the Greatest Common Factor (GCF), 't-1'. t-1(e2t + -1.666666667) = 0.000000000Subproblem 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 + -1.666666667)' equal to zero and attempt to solve: Simplifying e2t + -1.666666667 = 0 Reorder the terms: -1.666666667 + e2t = 0 Solving -1.666666667 + e2t = 0 Move all terms containing e to the left, all other terms to the right. Add '1.666666667' to each side of the equation. -1.666666667 + 1.666666667 + e2t = 0 + 1.666666667 Combine like terms: -1.666666667 + 1.666666667 = 0.000000000 0.000000000 + e2t = 0 + 1.666666667 e2t = 0 + 1.666666667 Combine like terms: 0 + 1.666666667 = 1.666666667 e2t = 1.666666667 Divide each side by 't'. e2 = 1.666666667t-1 Simplifying e2 = 1.666666667t-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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