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Simplifying 17e7t = 18e5t Solving 17e7t = 18e5t Solving for variable 'e'. Reorder the terms: -18e5t + 17e7t = 18e5t + -18e5t Combine like terms: 18e5t + -18e5t = 0 -18e5t + 17e7t = 0 Factor out the Greatest Common Factor (GCF), 'e5t'. e5t(-18 + 17e2) = 0Subproblem 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 '(-18 + 17e2)' equal to zero and attempt to solve: Simplifying -18 + 17e2 = 0 Solving -18 + 17e2 = 0 Move all terms containing e to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 17e2 = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 17e2 = 0 + 18 17e2 = 0 + 18 Combine like terms: 0 + 18 = 18 17e2 = 18 Divide each side by '17'. e2 = 1.058823529 Simplifying e2 = 1.058823529 Take the square root of each side: e = {-1.028991511, 1.028991511}Solution
e = {-1.028991511, 1.028991511}
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