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

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

Simplifying
ax2 + (a + -1) * x + -1 = 0

Reorder the terms:
ax2 + (-1 + a) * x + -1 = 0

Reorder the terms for easier multiplication:
ax2 + x(-1 + a) + -1 = 0
ax2 + (-1 * x + a * x) + -1 = 0

Reorder the terms:
ax2 + (ax + -1x) + -1 = 0
ax2 + (ax + -1x) + -1 = 0

Reorder the terms:
-1 + ax + ax2 + -1x = 0

Solving
-1 + ax + ax2 + -1x = 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 + ax + ax2 + 1 + -1x = 0 + 1

Reorder the terms:
-1 + 1 + ax + ax2 + -1x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + ax + ax2 + -1x = 0 + 1
ax + ax2 + -1x = 0 + 1

Combine like terms: 0 + 1 = 1
ax + ax2 + -1x = 1

Add 'x' to each side of the equation.
ax + ax2 + -1x + x = 1 + x

Combine like terms: -1x + x = 0
ax + ax2 + 0 = 1 + x
ax + ax2 = 1 + x

Reorder the terms:
-1 + ax + ax2 + -1x = 1 + x + -1 + -1x

Reorder the terms:
-1 + ax + ax2 + -1x = 1 + -1 + x + -1x

Combine like terms: 1 + -1 = 0
-1 + ax + ax2 + -1x = 0 + x + -1x
-1 + ax + ax2 + -1x = x + -1x

Combine like terms: x + -1x = 0
-1 + ax + ax2 + -1x = 0

The solution to this equation could not be determined.