(ln(x)-5)*(x+6)=0

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


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

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

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

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

Multiply (-5 + lnx) * (6 + x)
(-5(6 + x) + lnx(6 + x)) = 0
((6 * -5 + x * -5) + lnx(6 + x)) = 0
((-30 + -5x) + lnx(6 + x)) = 0
(-30 + -5x + (6 * lnx + x * lnx)) = 0
(-30 + -5x + (6lnx + lnx2)) = 0

Reorder the terms:
(-30 + 6lnx + lnx2 + -5x) = 0
(-30 + 6lnx + lnx2 + -5x) = 0

Solving
-30 + 6lnx + lnx2 + -5x = 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 + 6lnx + lnx2 + 30 + -5x = 0 + 30

Reorder the terms:
-30 + 30 + 6lnx + lnx2 + -5x = 0 + 30

Combine like terms: -30 + 30 = 0
0 + 6lnx + lnx2 + -5x = 0 + 30
6lnx + lnx2 + -5x = 0 + 30

Combine like terms: 0 + 30 = 30
6lnx + lnx2 + -5x = 30

Add '5x' to each side of the equation.
6lnx + lnx2 + -5x + 5x = 30 + 5x

Combine like terms: -5x + 5x = 0
6lnx + lnx2 + 0 = 30 + 5x
6lnx + lnx2 = 30 + 5x

Reorder the terms:
-30 + 6lnx + lnx2 + -5x = 30 + 5x + -30 + -5x

Reorder the terms:
-30 + 6lnx + lnx2 + -5x = 30 + -30 + 5x + -5x

Combine like terms: 30 + -30 = 0
-30 + 6lnx + lnx2 + -5x = 0 + 5x + -5x
-30 + 6lnx + lnx2 + -5x = 5x + -5x

Combine like terms: 5x + -5x = 0
-30 + 6lnx + lnx2 + -5x = 0

The solution to this equation could not be determined.

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