ln(x+a)ln(x)+ln(x^2)=1

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Solution for ln(x+a)ln(x)+ln(x^2)=1 equation: 


Simplifying
ln(x + a) * ln(x) + ln(x2) = 1

Reorder the terms:
ln(a + x) * ln(x) + ln(x2) = 1

Reorder the terms for easier multiplication:
ln * ln * x(a + x) + ln(x2) = 1

Multiply ln * ln
l2n2 * x(a + x) + ln(x2) = 1

Multiply l2n2 * x
l2n2x(a + x) + ln(x2) = 1
(a * l2n2x + x * l2n2x) + ln(x2) = 1
(al2n2x + l2n2x2) + ln(x2) = 1

Multiply ln * x2
al2n2x + l2n2x2 + lnx2 = 1

Reorder the terms:
al2n2x + lnx2 + l2n2x2 = 1

Solving
al2n2x + lnx2 + l2n2x2 = 1

Solving for variable 'a'.

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

Add '-1lnx2' to each side of the equation.
al2n2x + lnx2 + -1lnx2 + l2n2x2 = 1 + -1lnx2

Combine like terms: lnx2 + -1lnx2 = 0
al2n2x + 0 + l2n2x2 = 1 + -1lnx2
al2n2x + l2n2x2 = 1 + -1lnx2

Add '-1l2n2x2' to each side of the equation.
al2n2x + l2n2x2 + -1l2n2x2 = 1 + -1lnx2 + -1l2n2x2

Combine like terms: l2n2x2 + -1l2n2x2 = 0
al2n2x + 0 = 1 + -1lnx2 + -1l2n2x2
al2n2x = 1 + -1lnx2 + -1l2n2x2

Divide each side by 'l2n2x'.
a = l-2n-2x-1 + -1l-1n-1x + -1x

Simplifying
a = l-2n-2x-1 + -1l-1n-1x + -1x

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