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Simplifying [ln(x2 * sqrt(x3 + -4x))] = 0 Reorder the terms: [ln(x2 * qrst(-4x + x3))] = 0 Multiply x2 * qrst [ln(qrstx2(-4x + x3))] = 0 [ln((-4x * qrstx2 + x3 * qrstx2))] = 0 [ln((-4qrstx3 + qrstx5))] = 0 [(-4qrstx3 * ln + qrstx5 * ln)] = 0 [(-4lnqrstx3 + lnqrstx5)] = 0 [-4lnqrstx3 + lnqrstx5] = 0 Remove brackets around [-4lnqrstx3 + lnqrstx5] -4lnqrstx3 + lnqrstx5 = 0 Solving -4lnqrstx3 + lnqrstx5 = 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), 'lnqrstx3'. lnqrstx3(-4 + x2) = 0 Factor a difference between two squares. lnqrstx3((2 + x)(-2 + x)) = 0Subproblem 1
Set the factor 'lnqrstx3' equal to zero and attempt to solve: Simplifying lnqrstx3 = 0 Solving lnqrstx3 = 0 Move all terms containing l to the left, all other terms to the right. Simplifying lnqrstx3 = 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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Add '-1x' to each side of the equation. x + -1x = -2 + -1x Combine like terms: x + -1x = 0 0 = -2 + -1x Simplifying 0 = -2 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Add '-1x' to each side of the equation. x + -1x = 2 + -1x Combine like terms: x + -1x = 0 0 = 2 + -1x Simplifying 0 = 2 + -1x 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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