4ln(x)+3y^2-1=3ln(x)+2y^2+1

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Solution for 4ln(x)+3y^2-1=3ln(x)+2y^2+1 equation:


Simplifying
4ln(x) + 3y2 + -1 = 3ln(x) + 2y2 + 1

Multiply ln * x
4lnx + 3y2 + -1 = 3ln(x) + 2y2 + 1

Reorder the terms:
-1 + 4lnx + 3y2 = 3ln(x) + 2y2 + 1

Multiply ln * x
-1 + 4lnx + 3y2 = 3lnx + 2y2 + 1

Reorder the terms:
-1 + 4lnx + 3y2 = 1 + 3lnx + 2y2

Solving
-1 + 4lnx + 3y2 = 1 + 3lnx + 2y2

Solving for variable 'l'.

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

Add '-3lnx' to each side of the equation.
-1 + 4lnx + -3lnx + 3y2 = 1 + 3lnx + -3lnx + 2y2

Combine like terms: 4lnx + -3lnx = 1lnx
-1 + 1lnx + 3y2 = 1 + 3lnx + -3lnx + 2y2

Combine like terms: 3lnx + -3lnx = 0
-1 + 1lnx + 3y2 = 1 + 0 + 2y2
-1 + 1lnx + 3y2 = 1 + 2y2

Add '1' to each side of the equation.
-1 + 1lnx + 1 + 3y2 = 1 + 1 + 2y2

Reorder the terms:
-1 + 1 + 1lnx + 3y2 = 1 + 1 + 2y2

Combine like terms: -1 + 1 = 0
0 + 1lnx + 3y2 = 1 + 1 + 2y2
1lnx + 3y2 = 1 + 1 + 2y2

Combine like terms: 1 + 1 = 2
1lnx + 3y2 = 2 + 2y2

Add '-3y2' to each side of the equation.
1lnx + 3y2 + -3y2 = 2 + 2y2 + -3y2

Combine like terms: 3y2 + -3y2 = 0
1lnx + 0 = 2 + 2y2 + -3y2
1lnx = 2 + 2y2 + -3y2

Combine like terms: 2y2 + -3y2 = -1y2
1lnx = 2 + -1y2

Divide each side by '1nx'.
l = 2n-1x-1 + -1n-1x-1y2

Simplifying
l = 2n-1x-1 + -1n-1x-1y2

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