In(4x)+in(6x^2)=10

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Solution for In(4x)+in(6x^2)=10 equation:


Simplifying
In(4x) + in(6x2) = 10

Remove parenthesis around (4x)
nI * 4x + in(6x2) = 10

Reorder the terms for easier multiplication:
4nI * x + in(6x2) = 10

Multiply nI * x
4nxI + in(6x2) = 10

Remove parenthesis around (6x2)
4nxI + in * 6x2 = 10

Reorder the terms for easier multiplication:
4nxI + 6in * x2 = 10

Multiply in * x2
4nxI + 6inx2 = 10

Reorder the terms:
6inx2 + 4nxI = 10

Solving
6inx2 + 4nxI = 10

Solving for variable 'i'.

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

Add '-4nxI' to each side of the equation.
6inx2 + 4nxI + -4nxI = 10 + -4nxI

Combine like terms: 4nxI + -4nxI = 0
6inx2 + 0 = 10 + -4nxI
6inx2 = 10 + -4nxI

Divide each side by '6nx2'.
i = 1.666666667n-1x-2 + -0.6666666667x-1I

Simplifying
i = 1.666666667n-1x-2 + -0.6666666667x-1I

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