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Simplifying ln(4x2 + -100) + -1ln(x + -2) = 0 Reorder the terms: ln(-100 + 4x2) + -1ln(x + -2) = 0 (-100 * ln + 4x2 * ln) + -1ln(x + -2) = 0 (-100ln + 4lnx2) + -1ln(x + -2) = 0 Reorder the terms: -100ln + 4lnx2 + -1ln(-2 + x) = 0 -100ln + 4lnx2 + (-2 * -1ln + x * -1ln) = 0 -100ln + 4lnx2 + (2ln + -1lnx) = 0 Reorder the terms: -100ln + 2ln + -1lnx + 4lnx2 = 0 Combine like terms: -100ln + 2ln = -98ln -98ln + -1lnx + 4lnx2 = 0 Solving -98ln + -1lnx + 4lnx2 = 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), 'ln'. ln(-98 + -1x + 4x2) = 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 '(-98 + -1x + 4x2)' equal to zero and attempt to solve: Simplifying -98 + -1x + 4x2 = 0 Solving -98 + -1x + 4x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '98' to each side of the equation. -98 + -1x + 98 + 4x2 = 0 + 98 Reorder the terms: -98 + 98 + -1x + 4x2 = 0 + 98 Combine like terms: -98 + 98 = 0 0 + -1x + 4x2 = 0 + 98 -1x + 4x2 = 0 + 98 Combine like terms: 0 + 98 = 98 -1x + 4x2 = 98 Add 'x' to each side of the equation. -1x + x + 4x2 = 98 + x Combine like terms: -1x + x = 0 0 + 4x2 = 98 + x 4x2 = 98 + x Add '-4x2' to each side of the equation. 4x2 + -4x2 = 98 + x + -4x2 Combine like terms: 4x2 + -4x2 = 0 0 = 98 + x + -4x2 Simplifying 0 = 98 + x + -4x2 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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