(x+2)*(x-2)-ln(16-x^2)=0

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Solution for (x+2)*(x-2)-ln(16-x^2)=0 equation:


Simplifying
(x + 2)(x + -2) + -1ln(16 + -1x2) = 0

Reorder the terms:
(2 + x)(x + -2) + -1ln(16 + -1x2) = 0

Reorder the terms:
(2 + x)(-2 + x) + -1ln(16 + -1x2) = 0

Multiply (2 + x) * (-2 + x)
(2(-2 + x) + x(-2 + x)) + -1ln(16 + -1x2) = 0
((-2 * 2 + x * 2) + x(-2 + x)) + -1ln(16 + -1x2) = 0
((-4 + 2x) + x(-2 + x)) + -1ln(16 + -1x2) = 0
(-4 + 2x + (-2 * x + x * x)) + -1ln(16 + -1x2) = 0
(-4 + 2x + (-2x + x2)) + -1ln(16 + -1x2) = 0

Combine like terms: 2x + -2x = 0
(-4 + 0 + x2) + -1ln(16 + -1x2) = 0
(-4 + x2) + -1ln(16 + -1x2) = 0
-4 + x2 + (16 * -1ln + -1x2 * -1ln) = 0
-4 + x2 + (-16ln + 1lnx2) = 0

Reorder the terms:
-4 + -16ln + 1lnx2 + x2 = 0

Solving
-4 + -16ln + 1lnx2 + x2 = 0

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + -16ln + 1lnx2 + 4 + x2 = 0 + 4

Reorder the terms:
-4 + 4 + -16ln + 1lnx2 + x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -16ln + 1lnx2 + x2 = 0 + 4
-16ln + 1lnx2 + x2 = 0 + 4

Combine like terms: 0 + 4 = 4
-16ln + 1lnx2 + x2 = 4

Add '-1x2' to each side of the equation.
-16ln + 1lnx2 + x2 + -1x2 = 4 + -1x2

Combine like terms: x2 + -1x2 = 0
-16ln + 1lnx2 + 0 = 4 + -1x2
-16ln + 1lnx2 = 4 + -1x2

Reorder the terms:
-4 + -16ln + 1lnx2 + x2 = 4 + -1x2 + -4 + x2

Reorder the terms:
-4 + -16ln + 1lnx2 + x2 = 4 + -4 + -1x2 + x2

Combine like terms: 4 + -4 = 0
-4 + -16ln + 1lnx2 + x2 = 0 + -1x2 + x2
-4 + -16ln + 1lnx2 + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-4 + -16ln + 1lnx2 + x2 = 0

The solution to this equation could not be determined.

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