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Simplifying 50 = e3t Solving 50 = e3t Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-1e3t' to each side of the equation. 50 + -1e3t = e3t + -1e3t Combine like terms: e3t + -1e3t = 0 50 + -1e3t = 0 Add '-50' to each side of the equation. 50 + -50 + -1e3t = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -1e3t = 0 + -50 -1e3t = 0 + -50 Combine like terms: 0 + -50 = -50 -1e3t = -50 Divide each side by '-1t'. e3 = 50t-1 Simplifying e3 = 50t-1 Combine like terms: 50t-1 + -50t-1 = 0 e3 + -50t-1 = 0 Factor out the Greatest Common Factor (GCF), 't-1'. t-1(e3t + -50) = 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 + -50)' equal to zero and attempt to solve: Simplifying e3t + -50 = 0 Reorder the terms: -50 + e3t = 0 Solving -50 + e3t = 0 Move all terms containing e to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + e3t = 0 + 50 Combine like terms: -50 + 50 = 0 0 + e3t = 0 + 50 e3t = 0 + 50 Combine like terms: 0 + 50 = 50 e3t = 50 Divide each side by 't'. e3 = 50t-1 Simplifying e3 = 50t-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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