(k+1)x^2-kx-1=y

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Solution for (k+1)x^2-kx-1=y equation:


Simplifying
(k + 1) * x2 + -1kx + -1 = y

Reorder the terms:
(1 + k) * x2 + -1kx + -1 = y

Reorder the terms for easier multiplication:
x2(1 + k) + -1kx + -1 = y
(1 * x2 + k * x2) + -1kx + -1 = y

Reorder the terms:
(kx2 + 1x2) + -1kx + -1 = y
(kx2 + 1x2) + -1kx + -1 = y

Reorder the terms:
-1 + -1kx + kx2 + 1x2 = y

Solving
-1 + -1kx + kx2 + 1x2 = y

Solving for variable 'k'.

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

Add '1' to each side of the equation.
-1 + -1kx + kx2 + 1 + 1x2 = 1 + y

Reorder the terms:
-1 + 1 + -1kx + kx2 + 1x2 = 1 + y

Combine like terms: -1 + 1 = 0
0 + -1kx + kx2 + 1x2 = 1 + y
-1kx + kx2 + 1x2 = 1 + y

Add '-1x2' to each side of the equation.
-1kx + kx2 + 1x2 + -1x2 = 1 + -1x2 + y

Combine like terms: 1x2 + -1x2 = 0
-1kx + kx2 + 0 = 1 + -1x2 + y
-1kx + kx2 = 1 + -1x2 + y

Reorder the terms:
-1 + -1kx + kx2 + x2 + -1y = 1 + -1x2 + y + -1 + x2 + -1y

Reorder the terms:
-1 + -1kx + kx2 + x2 + -1y = 1 + -1 + -1x2 + x2 + y + -1y

Combine like terms: 1 + -1 = 0
-1 + -1kx + kx2 + x2 + -1y = 0 + -1x2 + x2 + y + -1y
-1 + -1kx + kx2 + x2 + -1y = -1x2 + x2 + y + -1y

Combine like terms: -1x2 + x2 = 0
-1 + -1kx + kx2 + x2 + -1y = 0 + y + -1y
-1 + -1kx + kx2 + x2 + -1y = y + -1y

Combine like terms: y + -1y = 0
-1 + -1kx + kx2 + x2 + -1y = 0

The solution to this equation could not be determined.

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