(3x-5)(ln(x)-6)=0

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Solution for (3x-5)(ln(x)-6)=0 equation: 


Simplifying
(3x + -5)(ln(x) + -6) = 0

Reorder the terms:
(-5 + 3x)(ln(x) + -6) = 0

Multiply ln * x
(-5 + 3x)(lnx + -6) = 0

Reorder the terms:
(-5 + 3x)(-6 + lnx) = 0

Multiply (-5 + 3x) * (-6 + lnx)
(-5(-6 + lnx) + 3x * (-6 + lnx)) = 0
((-6 * -5 + lnx * -5) + 3x * (-6 + lnx)) = 0
((30 + -5lnx) + 3x * (-6 + lnx)) = 0
(30 + -5lnx + (-6 * 3x + lnx * 3x)) = 0

Reorder the terms:
(30 + -5lnx + (3lnx2 + -18x)) = 0
(30 + -5lnx + (3lnx2 + -18x)) = 0
(30 + -5lnx + 3lnx2 + -18x) = 0

Solving
30 + -5lnx + 3lnx2 + -18x = 0

Solving for variable 'l'.

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

Add '-30' to each side of the equation.
30 + -5lnx + 3lnx2 + -30 + -18x = 0 + -30

Reorder the terms:
30 + -30 + -5lnx + 3lnx2 + -18x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -5lnx + 3lnx2 + -18x = 0 + -30
-5lnx + 3lnx2 + -18x = 0 + -30

Combine like terms: 0 + -30 = -30
-5lnx + 3lnx2 + -18x = -30

Add '18x' to each side of the equation.
-5lnx + 3lnx2 + -18x + 18x = -30 + 18x

Combine like terms: -18x + 18x = 0
-5lnx + 3lnx2 + 0 = -30 + 18x
-5lnx + 3lnx2 = -30 + 18x

Reorder the terms:
30 + -5lnx + 3lnx2 + -18x = -30 + 18x + 30 + -18x

Reorder the terms:
30 + -5lnx + 3lnx2 + -18x = -30 + 30 + 18x + -18x

Combine like terms: -30 + 30 = 0
30 + -5lnx + 3lnx2 + -18x = 0 + 18x + -18x
30 + -5lnx + 3lnx2 + -18x = 18x + -18x

Combine like terms: 18x + -18x = 0
30 + -5lnx + 3lnx2 + -18x = 0

The solution to this equation could not be determined.

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