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Simplifying ln(x3 + -4x) + -1ln(x2) = 0 Reorder the terms: ln(-4x + x3) + -1ln(x2) = 0 (-4x * ln + x3 * ln) + -1ln(x2) = 0 (-4lnx + lnx3) + -1ln(x2) = 0 Multiply ln * x2 -4lnx + lnx3 + -1lnx2 = 0 Reorder the terms: -4lnx + -1lnx2 + lnx3 = 0 Solving -4lnx + -1lnx2 + lnx3 = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'lnx'. lnx(-4 + -1x + x2) = 0Subproblem 1
Set the factor 'lnx' equal to zero and attempt to solve: Simplifying lnx = 0 Solving lnx = 0 Move all terms containing l to the left, all other terms to the right. Simplifying lnx = 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 '(-4 + -1x + x2)' equal to zero and attempt to solve: Simplifying -4 + -1x + x2 = 0 Solving -4 + -1x + x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -1x + 4 + x2 = 0 + 4 Reorder the terms: -4 + 4 + -1x + x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x + x2 = 0 + 4 -1x + x2 = 0 + 4 Combine like terms: 0 + 4 = 4 -1x + x2 = 4 Add 'x' to each side of the equation. -1x + x + x2 = 4 + x Combine like terms: -1x + x = 0 0 + x2 = 4 + x x2 = 4 + x Add '-1x2' to each side of the equation. x2 + -1x2 = 4 + x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 4 + x + -1x2 Simplifying 0 = 4 + x + -1x2 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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