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Simplifying 5e2t + -20 = 0 Reorder the terms: -20 + 5e2t = 0 Solving -20 + 5e2t = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 5e2t = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 5e2t = 0 + 20 5e2t = 0 + 20 Combine like terms: 0 + 20 = 20 5e2t = 20 Divide each side by '5t'. e2 = 4t-1 Simplifying e2 = 4t-1 Combine like terms: 4t-1 + -4t-1 = 0 e2 + -4t-1 = 0 Factor out the Greatest Common Factor (GCF), 't-1'. t-1(e2t + -4) = 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 + -4)' equal to zero and attempt to solve: Simplifying e2t + -4 = 0 Reorder the terms: -4 + e2t = 0 Solving -4 + e2t = 0 Move all terms containing e to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + e2t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + e2t = 0 + 4 e2t = 0 + 4 Combine like terms: 0 + 4 = 4 e2t = 4 Divide each side by 't'. e2 = 4t-1 Simplifying e2 = 4t-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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