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Simplifying 20e2x = 75e3x Solving 20e2x = 75e3x Solving for variable 'e'. Combine like terms: 75e3x + -75e3x = 0 20e2x + -75e3x = 0 Factor out the Greatest Common Factor (GCF), '5e2x'. 5e2x(4 + -15e) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'e2x' equal to zero and attempt to solve: Simplifying e2x = 0 Solving e2x = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e2x = 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 + -15e)' equal to zero and attempt to solve: Simplifying 4 + -15e = 0 Solving 4 + -15e = 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 + -15e = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -15e = 0 + -4 -15e = 0 + -4 Combine like terms: 0 + -4 = -4 -15e = -4 Divide each side by '-15'. e = 0.2666666667 Simplifying e = 0.2666666667Solution
e = {0.2666666667}
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