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Simplifying ln(x + -4) + ln(x + -14) = ln(x2) Reorder the terms: ln(-4 + x) + ln(x + -14) = ln(x2) (-4 * ln + x * ln) + ln(x + -14) = ln(x2) (-4ln + lnx) + ln(x + -14) = ln(x2) Reorder the terms: -4ln + lnx + ln(-14 + x) = ln(x2) -4ln + lnx + (-14 * ln + x * ln) = ln(x2) -4ln + lnx + (-14ln + lnx) = ln(x2) Reorder the terms: -4ln + -14ln + lnx + lnx = ln(x2) Combine like terms: -4ln + -14ln = -18ln -18ln + lnx + lnx = ln(x2) Combine like terms: lnx + lnx = 2lnx -18ln + 2lnx = ln(x2) Multiply ln * x2 -18ln + 2lnx = lnx2 Solving -18ln + 2lnx = lnx2 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1lnx2' to each side of the equation. -18ln + 2lnx + -1lnx2 = lnx2 + -1lnx2 Combine like terms: lnx2 + -1lnx2 = 0 -18ln + 2lnx + -1lnx2 = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-18 + 2x + -1x2) = 0Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 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 '(-18 + 2x + -1x2)' equal to zero and attempt to solve: Simplifying -18 + 2x + -1x2 = 0 Solving -18 + 2x + -1x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 2x + 18 + -1x2 = 0 + 18 Reorder the terms: -18 + 18 + 2x + -1x2 = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 2x + -1x2 = 0 + 18 2x + -1x2 = 0 + 18 Combine like terms: 0 + 18 = 18 2x + -1x2 = 18 Add '-2x' to each side of the equation. 2x + -2x + -1x2 = 18 + -2x Combine like terms: 2x + -2x = 0 0 + -1x2 = 18 + -2x -1x2 = 18 + -2x Add 'x2' to each side of the equation. -1x2 + x2 = 18 + -2x + x2 Combine like terms: -1x2 + x2 = 0 0 = 18 + -2x + x2 Simplifying 0 = 18 + -2x + x2 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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