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Simplifying (3x2)(e4x) + (x3)(4e4x) = 0 Remove parenthesis around (3x2) 3x2(e4x) + (x3)(4e4x) = 0 Multiply x2 * e4x 3e4x3 + (x3)(4e4x) = 0 Remove parenthesis around (4e4x) 3e4x3 + x3 * 4e4x = 0 Reorder the terms for easier multiplication: 3e4x3 + 4x3 * e4x = 0 Multiply x3 * e4x 3e4x3 + 4e4x4 = 0 Solving 3e4x3 + 4e4x4 = 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), 'e4x3'. e4x3(3 + 4x) = 0Subproblem 1
Set the factor 'e4x3' equal to zero and attempt to solve: Simplifying e4x3 = 0 Solving e4x3 = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e4x3 = 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 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 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 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Add '-4x' to each side of the equation. 4x + -4x = -3 + -4x Combine like terms: 4x + -4x = 0 0 = -3 + -4x Simplifying 0 = -3 + -4x 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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