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Simplifying -14 + 3e2t = 11 Solving -14 + 3e2t = 11 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 3e2t = 11 + 14 Combine like terms: -14 + 14 = 0 0 + 3e2t = 11 + 14 3e2t = 11 + 14 Combine like terms: 11 + 14 = 25 3e2t = 25 Divide each side by '3t'. e2 = 8.333333333t-1 Simplifying e2 = 8.333333333t-1 Combine like terms: 8.333333333t-1 + -8.333333333t-1 = 0.000000000 e2 + -8.333333333t-1 = 0.000000000 Factor out the Greatest Common Factor (GCF), 't-1'. t-1(e2t + -8.333333333) = 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 + -8.333333333)' equal to zero and attempt to solve: Simplifying e2t + -8.333333333 = 0 Reorder the terms: -8.333333333 + e2t = 0 Solving -8.333333333 + e2t = 0 Move all terms containing e to the left, all other terms to the right. Add '8.333333333' to each side of the equation. -8.333333333 + 8.333333333 + e2t = 0 + 8.333333333 Combine like terms: -8.333333333 + 8.333333333 = 0.000000000 0.000000000 + e2t = 0 + 8.333333333 e2t = 0 + 8.333333333 Combine like terms: 0 + 8.333333333 = 8.333333333 e2t = 8.333333333 Divide each side by 't'. e2 = 8.333333333t-1 Simplifying e2 = 8.333333333t-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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