x^2+4*k*x-k+1=0

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Solution for x^2+4*k*x-k+1=0 equation:


Simplifying
x2 + 4k * x + -1k + 1 = 0

Multiply k * x
x2 + 4kx + -1k + 1 = 0

Reorder the terms:
1 + -1k + 4kx + x2 = 0

Solving
1 + -1k + 4kx + x2 = 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 + -1k + 4kx + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -1k + 4kx + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1k + 4kx + x2 = 0 + -1
-1k + 4kx + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1k + 4kx + x2 = -1

Add '-1x2' to each side of the equation.
-1k + 4kx + x2 + -1x2 = -1 + -1x2

Combine like terms: x2 + -1x2 = 0
-1k + 4kx + 0 = -1 + -1x2
-1k + 4kx = -1 + -1x2

Reorder the terms:
1 + -1k + 4kx + x2 = -1 + -1x2 + 1 + x2

Reorder the terms:
1 + -1k + 4kx + x2 = -1 + 1 + -1x2 + x2

Combine like terms: -1 + 1 = 0
1 + -1k + 4kx + x2 = 0 + -1x2 + x2
1 + -1k + 4kx + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
1 + -1k + 4kx + x2 = 0

The solution to this equation could not be determined.

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