1=(x+1)ln(x+1)+xln(x)

Solution for 1=(x+1)ln(x+1)+xln(x) equation:

Simplifying
1 = (x + 1) * ln(x + 1) + xln(x)

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

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

Reorder the terms for easier multiplication:
1 = ln(1 + x)(1 + x) + xln(x)

Multiply (1 + x) * (1 + x)
1 = ln(1(1 + x) + x(1 + x)) + xln(x)
1 = ln((1 * 1 + x * 1) + x(1 + x)) + xln(x)
1 = ln((1 + 1x) + x(1 + x)) + xln(x)
1 = ln(1 + 1x + (1 * x + x * x)) + xln(x)
1 = ln(1 + 1x + (1x + x2)) + xln(x)

Combine like terms: 1x + 1x = 2x
1 = ln(1 + 2x + x2) + xln(x)
1 = (1 * ln + 2x * ln + x2 * ln) + xln(x)
1 = (1ln + 2lnx + lnx2) + xln(x)

Multiply lnx * x
1 = 1ln + 2lnx + lnx2 + lnx2

Combine like terms: lnx2 + lnx2 = 2lnx2
1 = 1ln + 2lnx + 2lnx2

Solving
1 = 1ln + 2lnx + 2lnx2

Solving for variable 'l'.

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

Add '-1ln' to each side of the equation.
1 + -1ln = 1ln + 2lnx + -1ln + 2lnx2

Reorder the terms:
1 + -1ln = 1ln + -1ln + 2lnx + 2lnx2

Combine like terms: 1ln + -1ln = 0
1 + -1ln = 0 + 2lnx + 2lnx2
1 + -1ln = 2lnx + 2lnx2

Add '-2lnx' to each side of the equation.
1 + -1ln + -2lnx = 2lnx + -2lnx + 2lnx2

Combine like terms: 2lnx + -2lnx = 0
1 + -1ln + -2lnx = 0 + 2lnx2
1 + -1ln + -2lnx = 2lnx2

Add '-2lnx2' to each side of the equation.
1 + -1ln + -2lnx + -2lnx2 = 2lnx2 + -2lnx2

Combine like terms: 2lnx2 + -2lnx2 = 0
1 + -1ln + -2lnx + -2lnx2 = 0

Add '-1' to each side of the equation.
1 + -1ln + -2lnx + -1 + -2lnx2 = 0 + -1

Reorder the terms:
1 + -1 + -1ln + -2lnx + -2lnx2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1ln + -2lnx + -2lnx2 = 0 + -1
-1ln + -2lnx + -2lnx2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1ln + -2lnx + -2lnx2 = -1

Reorder the terms:
1 + -1ln + -2lnx + -2lnx2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + -1ln + -2lnx + -2lnx2 = 0

The solution to this equation could not be determined.