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Simplifying 6 = 3e3t Solving 6 = 3e3t Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-3e3t' to each side of the equation. 6 + -3e3t = 3e3t + -3e3t Combine like terms: 3e3t + -3e3t = 0 6 + -3e3t = 0 Add '-6' to each side of the equation. 6 + -6 + -3e3t = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -3e3t = 0 + -6 -3e3t = 0 + -6 Combine like terms: 0 + -6 = -6 -3e3t = -6 Divide each side by '-3t'. e3 = 2t-1 Simplifying e3 = 2t-1 Combine like terms: 2t-1 + -2t-1 = 0 e3 + -2t-1 = 0 Factor out the Greatest Common Factor (GCF), 't-1'. t-1(e3t + -2) = 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 '(e3t + -2)' equal to zero and attempt to solve: Simplifying e3t + -2 = 0 Reorder the terms: -2 + e3t = 0 Solving -2 + e3t = 0 Move all terms containing e to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + e3t = 0 + 2 Combine like terms: -2 + 2 = 0 0 + e3t = 0 + 2 e3t = 0 + 2 Combine like terms: 0 + 2 = 2 e3t = 2 Divide each side by 't'. e3 = 2t-1 Simplifying e3 = 2t-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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