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

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


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

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

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

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

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

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

Reorder the terms:
-2 + k + -4kx + 2kx2 + 4x + -3x2 = 0

Solving
-2 + k + -4kx + 2kx2 + 4x + -3x2 = 0

Solving for variable 'k'.

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

Add '2' to each side of the equation.
-2 + k + -4kx + 2kx2 + 4x + 2 + -3x2 = 0 + 2

Reorder the terms:
-2 + 2 + k + -4kx + 2kx2 + 4x + -3x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + k + -4kx + 2kx2 + 4x + -3x2 = 0 + 2
k + -4kx + 2kx2 + 4x + -3x2 = 0 + 2

Combine like terms: 0 + 2 = 2
k + -4kx + 2kx2 + 4x + -3x2 = 2

Add '-4x' to each side of the equation.
k + -4kx + 2kx2 + 4x + -4x + -3x2 = 2 + -4x

Combine like terms: 4x + -4x = 0
k + -4kx + 2kx2 + 0 + -3x2 = 2 + -4x
k + -4kx + 2kx2 + -3x2 = 2 + -4x

Add '3x2' to each side of the equation.
k + -4kx + 2kx2 + -3x2 + 3x2 = 2 + -4x + 3x2

Combine like terms: -3x2 + 3x2 = 0
k + -4kx + 2kx2 + 0 = 2 + -4x + 3x2
k + -4kx + 2kx2 = 2 + -4x + 3x2

Reorder the terms:
-2 + k + -4kx + 2kx2 + 4x + -3x2 = 2 + -4x + 3x2 + -2 + 4x + -3x2

Reorder the terms:
-2 + k + -4kx + 2kx2 + 4x + -3x2 = 2 + -2 + -4x + 4x + 3x2 + -3x2

Combine like terms: 2 + -2 = 0
-2 + k + -4kx + 2kx2 + 4x + -3x2 = 0 + -4x + 4x + 3x2 + -3x2
-2 + k + -4kx + 2kx2 + 4x + -3x2 = -4x + 4x + 3x2 + -3x2

Combine like terms: -4x + 4x = 0
-2 + k + -4kx + 2kx2 + 4x + -3x2 = 0 + 3x2 + -3x2
-2 + k + -4kx + 2kx2 + 4x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-2 + k + -4kx + 2kx2 + 4x + -3x2 = 0

The solution to this equation could not be determined.

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