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Simplifying 4e3x = 7e5x Solving 4e3x = 7e5x Solving for variable 'e'. Combine like terms: 7e5x + -7e5x = 0 4e3x + -7e5x = 0 Factor out the Greatest Common Factor (GCF), 'e3x'. e3x(4 + -7e2) = 0Subproblem 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 '(4 + -7e2)' equal to zero and attempt to solve: Simplifying 4 + -7e2 = 0 Solving 4 + -7e2 = 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 + -7e2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7e2 = 0 + -4 -7e2 = 0 + -4 Combine like terms: 0 + -4 = -4 -7e2 = -4 Divide each side by '-7'. e2 = 0.5714285714 Simplifying e2 = 0.5714285714 Take the square root of each side: e = {-0.755928946, 0.755928946}Solution
e = {-0.755928946, 0.755928946}
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