(a+1)x^2+2ax+(a-1)=0

Solution for (a+1)x^2+2ax+(a-1)=0 equation:

Simplifying
(a + 1) * x2 + 2ax + (a + -1) = 0

Reorder the terms:
(1 + a) * x2 + 2ax + (a + -1) = 0

Reorder the terms for easier multiplication:
x2(1 + a) + 2ax + (a + -1) = 0
(1 * x2 + a * x2) + 2ax + (a + -1) = 0

Reorder the terms:
(ax2 + 1x2) + 2ax + (a + -1) = 0
(ax2 + 1x2) + 2ax + (a + -1) = 0

Reorder the terms:
ax2 + 1x2 + 2ax + (-1 + a) = 0

Remove parenthesis around (-1 + a)
ax2 + 1x2 + 2ax + -1 + a = 0

Reorder the terms:
-1 + a + 2ax + ax2 + 1x2 = 0

Solving
-1 + a + 2ax + ax2 + 1x2 = 0

Solving for variable 'a'.

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

Add '1' to each side of the equation.
-1 + a + 2ax + ax2 + 1 + 1x2 = 0 + 1

Reorder the terms:
-1 + 1 + a + 2ax + ax2 + 1x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + a + 2ax + ax2 + 1x2 = 0 + 1
a + 2ax + ax2 + 1x2 = 0 + 1

Combine like terms: 0 + 1 = 1
a + 2ax + ax2 + 1x2 = 1

Add '-1x2' to each side of the equation.
a + 2ax + ax2 + 1x2 + -1x2 = 1 + -1x2

Combine like terms: 1x2 + -1x2 = 0
a + 2ax + ax2 + 0 = 1 + -1x2
a + 2ax + ax2 = 1 + -1x2

Reorder the terms:
-1 + a + 2ax + ax2 + x2 = 1 + -1x2 + -1 + x2

Reorder the terms:
-1 + a + 2ax + ax2 + x2 = 1 + -1 + -1x2 + x2

Combine like terms: 1 + -1 = 0
-1 + a + 2ax + ax2 + x2 = 0 + -1x2 + x2
-1 + a + 2ax + ax2 + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-1 + a + 2ax + ax2 + x2 = 0

The solution to this equation could not be determined.