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Simplifying 10e5t = 20e7t Solving 10e5t = 20e7t Solving for variable 'e'. Combine like terms: 20e7t + -20e7t = 0 10e5t + -20e7t = 0 Factor out the Greatest Common Factor (GCF), '10e5t'. 10e5t(1 + -2e2) = 0 Ignore the factor 10.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 '(1 + -2e2)' equal to zero and attempt to solve: Simplifying 1 + -2e2 = 0 Solving 1 + -2e2 = 0 Move all terms containing e to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2e2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2e2 = 0 + -1 -2e2 = 0 + -1 Combine like terms: 0 + -1 = -1 -2e2 = -1 Divide each side by '-2'. e2 = 0.5 Simplifying e2 = 0.5 Take the square root of each side: e = {-0.707106781, 0.707106781}Solution
e = {-0.707106781, 0.707106781}
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