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Simplifying 40 = 10e4t Solving 40 = 10e4t Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-10e4t' to each side of the equation. 40 + -10e4t = 10e4t + -10e4t Combine like terms: 10e4t + -10e4t = 0 40 + -10e4t = 0 Add '-40' to each side of the equation. 40 + -40 + -10e4t = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -10e4t = 0 + -40 -10e4t = 0 + -40 Combine like terms: 0 + -40 = -40 -10e4t = -40 Divide each side by '-10t'. e4 = 4t-1 Simplifying e4 = 4t-1 Combine like terms: 4t-1 + -4t-1 = 0 e4 + -4t-1 = 0 Factor out the Greatest Common Factor (GCF), 't-1'. t-1(e4t + -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 '(e4t + -4)' equal to zero and attempt to solve: Simplifying e4t + -4 = 0 Reorder the terms: -4 + e4t = 0 Solving -4 + e4t = 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 + e4t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + e4t = 0 + 4 e4t = 0 + 4 Combine like terms: 0 + 4 = 4 e4t = 4 Divide each side by 't'. e4 = 4t-1 Simplifying e4 = 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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