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Simplifying 120e2x = 75e3x Solving 120e2x = 75e3x Solving for variable 'e'. Combine like terms: 75e3x + -75e3x = 0 120e2x + -75e3x = 0 Factor out the Greatest Common Factor (GCF), '15e2x'. 15e2x(8 + -5e) = 0 Ignore the factor 15.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 '(8 + -5e)' equal to zero and attempt to solve: Simplifying 8 + -5e = 0 Solving 8 + -5e = 0 Move all terms containing e to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5e = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5e = 0 + -8 -5e = 0 + -8 Combine like terms: 0 + -8 = -8 -5e = -8 Divide each side by '-5'. e = 1.6 Simplifying e = 1.6Solution
e = {1.6}
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