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Simplifying 7e3t + -1 = 7 Reorder the terms: -1 + 7e3t = 7 Solving -1 + 7e3t = 7 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 7e3t = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 7e3t = 7 + 1 7e3t = 7 + 1 Combine like terms: 7 + 1 = 8 7e3t = 8 Divide each side by '7t'. e3 = 1.142857143t-1 Simplifying e3 = 1.142857143t-1 Combine like terms: 1.142857143t-1 + -1.142857143t-1 = 0.000000000 e3 + -1.142857143t-1 = 0.000000000 Factor out the Greatest Common Factor (GCF), 't-1'. t-1(e3t + -1.142857143) = 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 '(e3t + -1.142857143)' equal to zero and attempt to solve: Simplifying e3t + -1.142857143 = 0 Reorder the terms: -1.142857143 + e3t = 0 Solving -1.142857143 + e3t = 0 Move all terms containing e to the left, all other terms to the right. Add '1.142857143' to each side of the equation. -1.142857143 + 1.142857143 + e3t = 0 + 1.142857143 Combine like terms: -1.142857143 + 1.142857143 = 0.000000000 0.000000000 + e3t = 0 + 1.142857143 e3t = 0 + 1.142857143 Combine like terms: 0 + 1.142857143 = 1.142857143 e3t = 1.142857143 Divide each side by 't'. e3 = 1.142857143t-1 Simplifying e3 = 1.142857143t-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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