Ln(x+4)ln(x-4)=0

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Solution for Ln(x+4)ln(x-4)=0 equation:


Simplifying
Ln(x + 4) * ln(x + -4) = 0

Reorder the terms:
nL(4 + x) * ln(x + -4) = 0

Reorder the terms:
nL(4 + x) * ln(-4 + x) = 0

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

Multiply nL * ln
ln2L(4 + x)(-4 + x) = 0

Multiply (4 + x) * (-4 + x)
ln2L(4(-4 + x) + x(-4 + x)) = 0
ln2L((-4 * 4 + x * 4) + x(-4 + x)) = 0
ln2L((-16 + 4x) + x(-4 + x)) = 0
ln2L(-16 + 4x + (-4 * x + x * x)) = 0
ln2L(-16 + 4x + (-4x + x2)) = 0

Combine like terms: 4x + -4x = 0
ln2L(-16 + 0 + x2) = 0
ln2L(-16 + x2) = 0
(-16 * ln2L + x2 * ln2L) = 0
(-16ln2L + ln2x2L) = 0

Solving
-16ln2L + ln2x2L = 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), 'ln2L'.
ln2L(-16 + x2) = 0

Factor a difference between two squares.
ln2L((4 + x)(-4 + x)) = 0

Subproblem 1

Set the factor 'ln2L' equal to zero and attempt to solve: Simplifying ln2L = 0 Solving ln2L = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln2L = 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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Add '-1x' to each side of the equation. x + -1x = -4 + -1x Combine like terms: x + -1x = 0 0 = -4 + -1x Simplifying 0 = -4 + -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 '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Add '-1x' to each side of the equation. x + -1x = 4 + -1x Combine like terms: x + -1x = 0 0 = 4 + -1x Simplifying 0 = 4 + -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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