(k-1)x^2+3kx+k-1=0

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Solution for (k-1)x^2+3kx+k-1=0 equation:


Simplifying
(k + -1) * x2 + 3kx + k + -1 = 0

Reorder the terms:
(-1 + k) * x2 + 3kx + k + -1 = 0

Reorder the terms for easier multiplication:
x2(-1 + k) + 3kx + k + -1 = 0
(-1 * x2 + k * x2) + 3kx + k + -1 = 0

Reorder the terms:
(kx2 + -1x2) + 3kx + k + -1 = 0
(kx2 + -1x2) + 3kx + k + -1 = 0

Reorder the terms:
-1 + k + 3kx + kx2 + -1x2 = 0

Solving
-1 + k + 3kx + kx2 + -1x2 = 0

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 + k + 3kx + kx2 + 1 + -1x2 = 0 + 1

Reorder the terms:
-1 + 1 + k + 3kx + kx2 + -1x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + k + 3kx + kx2 + -1x2 = 0 + 1
k + 3kx + kx2 + -1x2 = 0 + 1

Combine like terms: 0 + 1 = 1
k + 3kx + kx2 + -1x2 = 1

Add 'x2' to each side of the equation.
k + 3kx + kx2 + -1x2 + x2 = 1 + x2

Combine like terms: -1x2 + x2 = 0
k + 3kx + kx2 + 0 = 1 + x2
k + 3kx + kx2 = 1 + x2

Reorder the terms:
-1 + k + 3kx + kx2 + -1x2 = 1 + x2 + -1 + -1x2

Reorder the terms:
-1 + k + 3kx + kx2 + -1x2 = 1 + -1 + x2 + -1x2

Combine like terms: 1 + -1 = 0
-1 + k + 3kx + kx2 + -1x2 = 0 + x2 + -1x2
-1 + k + 3kx + kx2 + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1 + k + 3kx + kx2 + -1x2 = 0

The solution to this equation could not be determined.

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