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Simplifying (10x + 18) * e2x = 0 Reorder the terms: (18 + 10x) * e2x = 0 Reorder the terms for easier multiplication: e2x(18 + 10x) = 0 (18 * e2x + 10x * e2x) = 0 (18e2x + 10e2x2) = 0 Solving 18e2x + 10e2x2 = 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), '2e2x'. 2e2x(9 + 5x) = 0 Ignore the factor 2.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 '(9 + 5x)' equal to zero and attempt to solve: Simplifying 9 + 5x = 0 Solving 9 + 5x = 0 Move all terms containing e to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = 0 + -9 5x = 0 + -9 Combine like terms: 0 + -9 = -9 5x = -9 Add '-5x' to each side of the equation. 5x + -5x = -9 + -5x Combine like terms: 5x + -5x = 0 0 = -9 + -5x Simplifying 0 = -9 + -5x 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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