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Simplifying 5e8t + -6 = 9 Reorder the terms: -6 + 5e8t = 9 Solving -6 + 5e8t = 9 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5e8t = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 5e8t = 9 + 6 5e8t = 9 + 6 Combine like terms: 9 + 6 = 15 5e8t = 15 Divide each side by '5t'. e8 = 3t-1 Simplifying e8 = 3t-1 Combine like terms: 3t-1 + -3t-1 = 0 e8 + -3t-1 = 0 Factor out the Greatest Common Factor (GCF), 't-1'. t-1(e8t + -3) = 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 '(e8t + -3)' equal to zero and attempt to solve: Simplifying e8t + -3 = 0 Reorder the terms: -3 + e8t = 0 Solving -3 + e8t = 0 Move all terms containing e to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + e8t = 0 + 3 Combine like terms: -3 + 3 = 0 0 + e8t = 0 + 3 e8t = 0 + 3 Combine like terms: 0 + 3 = 3 e8t = 3 Divide each side by 't'. e8 = 3t-1 Simplifying e8 = 3t-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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