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Simplifying (3x + -2)(8e2x) = 0 Reorder the terms: (-2 + 3x)(8e2x) = 0 Remove parenthesis around (8e2x) (-2 + 3x) * 8e2x = 0 Reorder the terms for easier multiplication: 8e2x(-2 + 3x) = 0 (-2 * 8e2x + 3x * 8e2x) = 0 (-16e2x + 24e2x2) = 0 Solving -16e2x + 24e2x2 = 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), '8e2x'. 8e2x(-2 + 3x) = 0 Ignore the factor 8.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 '(-2 + 3x)' equal to zero and attempt to solve: Simplifying -2 + 3x = 0 Solving -2 + 3x = 0 Move all terms containing e to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 0 + 2 3x = 0 + 2 Combine like terms: 0 + 2 = 2 3x = 2 Add '-3x' to each side of the equation. 3x + -3x = 2 + -3x Combine like terms: 3x + -3x = 0 0 = 2 + -3x Simplifying 0 = 2 + -3x 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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