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Simplifying 200 = 400 + -1e3t Solving 200 = 400 + -1e3t Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add 'e3t' to each side of the equation. 200 + e3t = 400 + -1e3t + e3t Combine like terms: -1e3t + e3t = 0 200 + e3t = 400 + 0 200 + e3t = 400 Add '-200' to each side of the equation. 200 + -200 + e3t = 400 + -200 Combine like terms: 200 + -200 = 0 0 + e3t = 400 + -200 e3t = 400 + -200 Combine like terms: 400 + -200 = 200 e3t = 200 Divide each side by 't'. e3 = 200t-1 Simplifying e3 = 200t-1 Combine like terms: 200t-1 + -200t-1 = 0 e3 + -200t-1 = 0 Factor out the Greatest Common Factor (GCF), 't-1'. t-1(e3t + -200) = 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 + -200)' equal to zero and attempt to solve: Simplifying e3t + -200 = 0 Reorder the terms: -200 + e3t = 0 Solving -200 + e3t = 0 Move all terms containing e to the left, all other terms to the right. Add '200' to each side of the equation. -200 + 200 + e3t = 0 + 200 Combine like terms: -200 + 200 = 0 0 + e3t = 0 + 200 e3t = 0 + 200 Combine like terms: 0 + 200 = 200 e3t = 200 Divide each side by 't'. e3 = 200t-1 Simplifying e3 = 200t-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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