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Simplifying 10e5t = 14e6t Solving 10e5t = 14e6t Solving for variable 'e'. Combine like terms: 14e6t + -14e6t = 0 10e5t + -14e6t = 0 Factor out the Greatest Common Factor (GCF), '2e5t'. 2e5t(5 + -7e) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'e5t' equal to zero and attempt to solve: Simplifying e5t = 0 Solving e5t = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e5t = 0 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 '(5 + -7e)' equal to zero and attempt to solve: Simplifying 5 + -7e = 0 Solving 5 + -7e = 0 Move all terms containing e to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7e = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7e = 0 + -5 -7e = 0 + -5 Combine like terms: 0 + -5 = -5 -7e = -5 Divide each side by '-7'. e = 0.7142857143 Simplifying e = 0.7142857143Solution
e = {0.7142857143}
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