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

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

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

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

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

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

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

The solution to this equation could not be determined.

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