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Simplifying 100 = 10e2t Solving 100 = 10e2t Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-10e2t' to each side of the equation. 100 + -10e2t = 10e2t + -10e2t Combine like terms: 10e2t + -10e2t = 0 100 + -10e2t = 0 Add '-100' to each side of the equation. 100 + -100 + -10e2t = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -10e2t = 0 + -100 -10e2t = 0 + -100 Combine like terms: 0 + -100 = -100 -10e2t = -100 Divide each side by '-10t'. e2 = 10t-1 Simplifying e2 = 10t-1 Combine like terms: 10t-1 + -10t-1 = 0 e2 + -10t-1 = 0 Factor out the Greatest Common Factor (GCF), 't-1'. t-1(e2t + -10) = 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 + -10)' equal to zero and attempt to solve: Simplifying e2t + -10 = 0 Reorder the terms: -10 + e2t = 0 Solving -10 + e2t = 0 Move all terms containing e to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + e2t = 0 + 10 Combine like terms: -10 + 10 = 0 0 + e2t = 0 + 10 e2t = 0 + 10 Combine like terms: 0 + 10 = 10 e2t = 10 Divide each side by 't'. e2 = 10t-1 Simplifying e2 = 10t-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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