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Simplifying 20e3x = 10e5x Solving 20e3x = 10e5x Solving for variable 'e'. Combine like terms: 10e5x + -10e5x = 0 20e3x + -10e5x = 0 Factor out the Greatest Common Factor (GCF), '10e3x'. 10e3x(2 + -1e2) = 0 Ignore the factor 10.Subproblem 1
Set the factor 'e3x' equal to zero and attempt to solve: Simplifying e3x = 0 Solving e3x = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e3x = 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 '(2 + -1e2)' equal to zero and attempt to solve: Simplifying 2 + -1e2 = 0 Solving 2 + -1e2 = 0 Move all terms containing e to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1e2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1e2 = 0 + -2 -1e2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1e2 = -2 Divide each side by '-1'. e2 = 2 Simplifying e2 = 2 Take the square root of each side: e = {-1.414213562, 1.414213562}Solution
e = {-1.414213562, 1.414213562}
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