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Simplifying ln(x + -8)[ln(x2 + -9)] = 0 Reorder the terms: ln(-8 + x)[ln(x2 + -9)] = 0 Reorder the terms: ln(-8 + x)[ln(-9 + x2)] = 0 ln(-8 + x)[(-9 * ln + x2 * ln)] = 0 ln(-8 + x)[(-9ln + lnx2)] = 0 Multiply (-8 + x) * [-9ln + lnx2] ln(-8[-9ln + lnx2] + x[-9ln + lnx2]) = 0 ln([-9ln * -8 + lnx2 * -8] + x[-9ln + lnx2]) = 0 ln([72ln + -8lnx2] + x[-9ln + lnx2]) = 0 ln(72ln + -8lnx2 + [-9ln * x + lnx2 * x]) = 0 ln(72ln + -8lnx2 + [-9lnx + lnx3]) = 0 Reorder the terms: ln(72ln + -9lnx + -8lnx2 + lnx3) = 0 ln(72ln + -9lnx + -8lnx2 + lnx3) = 0 (72ln * ln + -9lnx * ln + -8lnx2 * ln + lnx3 * ln) = 0 (72l2n2 + -9l2n2x + -8l2n2x2 + l2n2x3) = 0 Solving 72l2n2 + -9l2n2x + -8l2n2x2 + l2n2x3 = 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), 'l2n2'. l2n2(72 + -9x + -8x2 + x3) = 0Subproblem 1
Set the factor 'l2n2' equal to zero and attempt to solve: Simplifying l2n2 = 0 Solving l2n2 = 0 Move all terms containing l to the left, all other terms to the right. Simplifying l2n2 = 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 '(72 + -9x + -8x2 + x3)' equal to zero and attempt to solve: Simplifying 72 + -9x + -8x2 + x3 = 0 Solving 72 + -9x + -8x2 + x3 = 0 Move all terms containing l to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -9x + -8x2 + -72 + x3 = 0 + -72 Reorder the terms: 72 + -72 + -9x + -8x2 + x3 = 0 + -72 Combine like terms: 72 + -72 = 0 0 + -9x + -8x2 + x3 = 0 + -72 -9x + -8x2 + x3 = 0 + -72 Combine like terms: 0 + -72 = -72 -9x + -8x2 + x3 = -72 Add '9x' to each side of the equation. -9x + -8x2 + 9x + x3 = -72 + 9x Reorder the terms: -9x + 9x + -8x2 + x3 = -72 + 9x Combine like terms: -9x + 9x = 0 0 + -8x2 + x3 = -72 + 9x -8x2 + x3 = -72 + 9x Add '8x2' to each side of the equation. -8x2 + 8x2 + x3 = -72 + 9x + 8x2 Combine like terms: -8x2 + 8x2 = 0 0 + x3 = -72 + 9x + 8x2 x3 = -72 + 9x + 8x2 Add '-1x3' to each side of the equation. x3 + -1x3 = -72 + 9x + 8x2 + -1x3 Combine like terms: x3 + -1x3 = 0 0 = -72 + 9x + 8x2 + -1x3 Simplifying 0 = -72 + 9x + 8x2 + -1x3 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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