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Simplifying (2x3 + 3x2) * e2x = 0 Reorder the terms: (3x2 + 2x3) * e2x = 0 Reorder the terms for easier multiplication: e2x(3x2 + 2x3) = 0 (3x2 * e2x + 2x3 * e2x) = 0 (3e2x3 + 2e2x4) = 0 Solving 3e2x3 + 2e2x4 = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'e2x3'. e2x3(3 + 2x) = 0Subproblem 1
Set the factor 'e2x3' equal to zero and attempt to solve: Simplifying e2x3 = 0 Solving e2x3 = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e2x3 = 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 '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing e to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Add '-2x' to each side of the equation. 2x + -2x = -3 + -2x Combine like terms: 2x + -2x = 0 0 = -3 + -2x Simplifying 0 = -3 + -2x 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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