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Simplifying In(z) + -1In(4x) = 0 Multiply nI * z nzI + -1In(4x) = 0 Remove parenthesis around (4x) nzI + -1nI * 4x = 0 Reorder the terms for easier multiplication: nzI + -1 * 4nI * x = 0 Multiply -1 * 4 nzI + -4nI * x = 0 Multiply nI * x nzI + -4nxI = 0 Reorder the terms: -4nxI + nzI = 0 Solving -4nxI + nzI = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'nI'. nI(-4x + z) = 0Subproblem 1
Set the factor 'nI' equal to zero and attempt to solve: Simplifying nI = 0 Solving nI = 0 Move all terms containing n to the left, all other terms to the right. Simplifying nI = 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 '(-4x + z)' equal to zero and attempt to solve: Simplifying -4x + z = 0 Solving -4x + z = 0 Move all terms containing n to the left, all other terms to the right. Add '4x' to each side of the equation. -4x + 4x + z = 0 + 4x Combine like terms: -4x + 4x = 0 0 + z = 0 + 4x z = 0 + 4x Remove the zero: z = 4x Add '-1z' to each side of the equation. z + -1z = 4x + -1z Combine like terms: z + -1z = 0 0 = 4x + -1z Simplifying 0 = 4x + -1z 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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