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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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