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Simplifying (6x + 1) * e6x = 0 Reorder the terms: (1 + 6x) * e6x = 0 Reorder the terms for easier multiplication: e6x(1 + 6x) = 0 (1 * e6x + 6x * e6x) = 0 (1e6x + 6e6x2) = 0 Solving 1e6x + 6e6x2 = 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), 'e6x'. e6x(1 + 6x) = 0Subproblem 1
Set the factor 'e6x' equal to zero and attempt to solve: Simplifying e6x = 0 Solving e6x = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e6x = 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 '(1 + 6x)' equal to zero and attempt to solve: Simplifying 1 + 6x = 0 Solving 1 + 6x = 0 Move all terms containing e to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 0 + -1 6x = 0 + -1 Combine like terms: 0 + -1 = -1 6x = -1 Add '-6x' to each side of the equation. 6x + -6x = -1 + -6x Combine like terms: 6x + -6x = 0 0 = -1 + -6x Simplifying 0 = -1 + -6x 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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