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Simplifying 2e2x(4 + e3x) = 3e2x(e2x) (4 * 2e2x + e3x * 2e2x) = 3e2x(e2x) (8e2x + 2e5x2) = 3e2x(e2x) Multiply e2x * e2x 8e2x + 2e5x2 = 3e4x2 Solving 8e2x + 2e5x2 = 3e4x2 Solving for variable 'e'. Reorder the terms: 8e2x + -3e4x2 + 2e5x2 = 3e4x2 + -3e4x2 Combine like terms: 3e4x2 + -3e4x2 = 0 8e2x + -3e4x2 + 2e5x2 = 0 Factor out the Greatest Common Factor (GCF), 'e2x'. e2x(8 + -3e2x + 2e3x) = 0Subproblem 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 + -3e2x + 2e3x)' equal to zero and attempt to solve: Simplifying 8 + -3e2x + 2e3x = 0 Solving 8 + -3e2x + 2e3x = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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