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Simplifying on(y + -6) = ln(2y + -4) Reorder the terms: no(-6 + y) = ln(2y + -4) (-6 * no + y * no) = ln(2y + -4) (-6no + noy) = ln(2y + -4) Reorder the terms: -6no + noy = ln(-4 + 2y) -6no + noy = (-4 * ln + 2y * ln) -6no + noy = (-4ln + 2lny) Solving -6no + noy = -4ln + 2lny Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4ln' to each side of the equation. -6no + 4ln + noy = -4ln + 4ln + 2lny Reorder the terms: 4ln + -6no + noy = -4ln + 4ln + 2lny Combine like terms: -4ln + 4ln = 0 4ln + -6no + noy = 0 + 2lny 4ln + -6no + noy = 2lny Add '-2lny' to each side of the equation. 4ln + -6no + -2lny + noy = 2lny + -2lny Reorder the terms: 4ln + -2lny + -6no + noy = 2lny + -2lny Combine like terms: 2lny + -2lny = 0 4ln + -2lny + -6no + noy = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(4l + -2ly + -6o + oy) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(4l + -2ly + -6o + oy)' equal to zero and attempt to solve: Simplifying 4l + -2ly + -6o + oy = 0 Solving 4l + -2ly + -6o + oy = 0 Move all terms containing n to the left, all other terms to the right. Add '-4l' to each side of the equation. 4l + -2ly + -6o + -4l + oy = 0 + -4l Reorder the terms: 4l + -4l + -2ly + -6o + oy = 0 + -4l Combine like terms: 4l + -4l = 0 0 + -2ly + -6o + oy = 0 + -4l -2ly + -6o + oy = 0 + -4l Remove the zero: -2ly + -6o + oy = -4l Add '2ly' to each side of the equation. -2ly + -6o + 2ly + oy = -4l + 2ly Reorder the terms: -2ly + 2ly + -6o + oy = -4l + 2ly Combine like terms: -2ly + 2ly = 0 0 + -6o + oy = -4l + 2ly -6o + oy = -4l + 2ly Add '6o' to each side of the equation. -6o + 6o + oy = -4l + 2ly + 6o Combine like terms: -6o + 6o = 0 0 + oy = -4l + 2ly + 6o oy = -4l + 2ly + 6o Add '-1oy' to each side of the equation. oy + -1oy = -4l + 2ly + 6o + -1oy Combine like terms: oy + -1oy = 0 0 = -4l + 2ly + 6o + -1oy Simplifying 0 = -4l + 2ly + 6o + -1oy The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
n = {0}
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