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Simplifying 7lnx + -3(lnx3 + 5lnx) = 0 Reorder the terms: 7lnx + -3(5lnx + lnx3) = 0 7lnx + (5lnx * -3 + lnx3 * -3) = 0 7lnx + (-15lnx + -3lnx3) = 0 Combine like terms: 7lnx + -15lnx = -8lnx -8lnx + -3lnx3 = 0 Solving -8lnx + -3lnx3 = 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), '-1lnx'. -1lnx(8 + 3x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'lnx' equal to zero and attempt to solve: Simplifying lnx = 0 Solving lnx = 0 Move all terms containing l to the left, all other terms to the right. Simplifying lnx = 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 '(8 + 3x2)' equal to zero and attempt to solve: Simplifying 8 + 3x2 = 0 Solving 8 + 3x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3x2 = 0 + -8 3x2 = 0 + -8 Combine like terms: 0 + -8 = -8 3x2 = -8 Add '-3x2' to each side of the equation. 3x2 + -3x2 = -8 + -3x2 Combine like terms: 3x2 + -3x2 = 0 0 = -8 + -3x2 Simplifying 0 = -8 + -3x2 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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