(5+7lnx)lnx=0

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Solution for (5+7lnx)lnx=0 equation:


Simplifying
(5 + 7lnx) * lnx = 0

Reorder the terms for easier multiplication:
lnx(5 + 7lnx) = 0
(5 * lnx + 7lnx * lnx) = 0
(5lnx + 7l2n2x2) = 0

Solving
5lnx + 7l2n2x2 = 0

Solving for variable 'l'.

Factor out the Greatest Common Factor (GCF), 'lnx'.
lnx(5 + 7lnx) = 0

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 '(5 + 7lnx)' equal to zero and attempt to solve: Simplifying 5 + 7lnx = 0 Solving 5 + 7lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7lnx = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7lnx = 0 + -5 7lnx = 0 + -5 Combine like terms: 0 + -5 = -5 7lnx = -5 Divide each side by '7nx'. l = -0.7142857143n-1x-1 Simplifying l = -0.7142857143n-1x-1

Solution

l = {-0.7142857143n-1x-1}

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