ln(x^2-4x*5)=0

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Solution for ln(x^2-4x*5)=0 equation:


Simplifying
ln(x2 + -4x * 5) = 0

Reorder the terms for easier multiplication:
ln(x2 + -4 * 5x) = 0

Multiply -4 * 5
ln(x2 + -20x) = 0

Reorder the terms:
ln(-20x + x2) = 0
(-20x * ln + x2 * ln) = 0
(-20lnx + lnx2) = 0

Solving
-20lnx + lnx2 = 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), 'lnx'.
lnx(-20 + x) = 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 '(-20 + x)' equal to zero and attempt to solve: Simplifying -20 + x = 0 Solving -20 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + x = 0 + 20 x = 0 + 20 Combine like terms: 0 + 20 = 20 x = 20 Add '-1x' to each side of the equation. x + -1x = 20 + -1x Combine like terms: x + -1x = 0 0 = 20 + -1x Simplifying 0 = 20 + -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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