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

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Solution for 4(k-1)x^2+2(2k-3)x+k=0 equation: 


Simplifying
4(k + -1) * x2 + 2(2k + -3) * x + k = 0

Reorder the terms:
4(-1 + k) * x2 + 2(2k + -3) * x + k = 0

Reorder the terms for easier multiplication:
4x2(-1 + k) + 2(2k + -3) * x + k = 0
(-1 * 4x2 + k * 4x2) + 2(2k + -3) * x + k = 0

Reorder the terms:
(4kx2 + -4x2) + 2(2k + -3) * x + k = 0
(4kx2 + -4x2) + 2(2k + -3) * x + k = 0

Reorder the terms:
4kx2 + -4x2 + 2(-3 + 2k) * x + k = 0

Reorder the terms for easier multiplication:
4kx2 + -4x2 + 2x(-3 + 2k) + k = 0
4kx2 + -4x2 + (-3 * 2x + 2k * 2x) + k = 0

Reorder the terms:
4kx2 + -4x2 + (4kx + -6x) + k = 0
4kx2 + -4x2 + (4kx + -6x) + k = 0

Reorder the terms:
k + 4kx + 4kx2 + -6x + -4x2 = 0

Solving
k + 4kx + 4kx2 + -6x + -4x2 = 0

Solving for variable 'k'.

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

Add '6x' to each side of the equation.
k + 4kx + 4kx2 + -6x + 6x + -4x2 = 0 + 6x

Combine like terms: -6x + 6x = 0
k + 4kx + 4kx2 + 0 + -4x2 = 0 + 6x
k + 4kx + 4kx2 + -4x2 = 0 + 6x
Remove the zero:
k + 4kx + 4kx2 + -4x2 = 6x

Add '4x2' to each side of the equation.
k + 4kx + 4kx2 + -4x2 + 4x2 = 6x + 4x2

Combine like terms: -4x2 + 4x2 = 0
k + 4kx + 4kx2 + 0 = 6x + 4x2
k + 4kx + 4kx2 = 6x + 4x2

Reorder the terms:
k + 4kx + 4kx2 + -6x + -4x2 = 6x + -6x + 4x2 + -4x2

Combine like terms: 6x + -6x = 0
k + 4kx + 4kx2 + -6x + -4x2 = 0 + 4x2 + -4x2
k + 4kx + 4kx2 + -6x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
k + 4kx + 4kx2 + -6x + -4x2 = 0

The solution to this equation could not be determined.

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