(x^2-9)*(ln(x)-3)=0

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Solution for (x^2-9)*(ln(x)-3)=0 equation: 


Simplifying
(x2 + -9)(ln(x) + -3) = 0

Reorder the terms:
(-9 + x2)(ln(x) + -3) = 0

Multiply ln * x
(-9 + x2)(lnx + -3) = 0

Reorder the terms:
(-9 + x2)(-3 + lnx) = 0

Multiply (-9 + x2) * (-3 + lnx)
(-9(-3 + lnx) + x2(-3 + lnx)) = 0
((-3 * -9 + lnx * -9) + x2(-3 + lnx)) = 0
((27 + -9lnx) + x2(-3 + lnx)) = 0
(27 + -9lnx + (-3 * x2 + lnx * x2)) = 0

Reorder the terms:
(27 + -9lnx + (lnx3 + -3x2)) = 0
(27 + -9lnx + (lnx3 + -3x2)) = 0
(27 + -9lnx + lnx3 + -3x2) = 0

Solving
27 + -9lnx + lnx3 + -3x2 = 0

Solving for variable 'l'.

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

Add '-27' to each side of the equation.
27 + -9lnx + lnx3 + -27 + -3x2 = 0 + -27

Reorder the terms:
27 + -27 + -9lnx + lnx3 + -3x2 = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -9lnx + lnx3 + -3x2 = 0 + -27
-9lnx + lnx3 + -3x2 = 0 + -27

Combine like terms: 0 + -27 = -27
-9lnx + lnx3 + -3x2 = -27

Add '3x2' to each side of the equation.
-9lnx + lnx3 + -3x2 + 3x2 = -27 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-9lnx + lnx3 + 0 = -27 + 3x2
-9lnx + lnx3 = -27 + 3x2

Reorder the terms:
27 + -9lnx + lnx3 + -3x2 = -27 + 3x2 + 27 + -3x2

Reorder the terms:
27 + -9lnx + lnx3 + -3x2 = -27 + 27 + 3x2 + -3x2

Combine like terms: -27 + 27 = 0
27 + -9lnx + lnx3 + -3x2 = 0 + 3x2 + -3x2
27 + -9lnx + lnx3 + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
27 + -9lnx + lnx3 + -3x2 = 0

The solution to this equation could not be determined.

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