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Simplifying 0 = 3e2x + -3e3x Solving 0 = 3e2x + -3e3x Solving for variable 'e'. Remove the zero: -3e2x + 3e3x = 3e2x + -3e3x + -3e2x + 3e3x Reorder the terms: -3e2x + 3e3x = 3e2x + -3e2x + -3e3x + 3e3x Combine like terms: 3e2x + -3e2x = 0 -3e2x + 3e3x = 0 + -3e3x + 3e3x -3e2x + 3e3x = -3e3x + 3e3x Combine like terms: -3e3x + 3e3x = 0 -3e2x + 3e3x = 0 Factor out the Greatest Common Factor (GCF), '3e2x'. 3e2x(-1 + e) = 0 Ignore the factor 3.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 '(-1 + e)' equal to zero and attempt to solve: Simplifying -1 + e = 0 Solving -1 + e = 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 + e = 0 + 1 Combine like terms: -1 + 1 = 0 0 + e = 0 + 1 e = 0 + 1 Combine like terms: 0 + 1 = 1 e = 1 Simplifying e = 1Solution
e = {1}
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