(K-2)X^2+2(2K-3)X+4K+2=0

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Solution for (K-2)X^2+2(2K-3)X+4K+2=0 equation:


Simplifying
(K + -2) * X2 + 2(2K + -3) * X + 4K + 2 = 0

Reorder the terms:
(-2 + K) * X2 + 2(2K + -3) * X + 4K + 2 = 0

Reorder the terms for easier multiplication:
X2(-2 + K) + 2(2K + -3) * X + 4K + 2 = 0
(-2 * X2 + K * X2) + 2(2K + -3) * X + 4K + 2 = 0

Reorder the terms:
(KX2 + -2X2) + 2(2K + -3) * X + 4K + 2 = 0
(KX2 + -2X2) + 2(2K + -3) * X + 4K + 2 = 0

Reorder the terms:
KX2 + -2X2 + 2(-3 + 2K) * X + 4K + 2 = 0

Reorder the terms for easier multiplication:
KX2 + -2X2 + 2X(-3 + 2K) + 4K + 2 = 0
KX2 + -2X2 + (-3 * 2X + 2K * 2X) + 4K + 2 = 0

Reorder the terms:
KX2 + -2X2 + (4KX + -6X) + 4K + 2 = 0
KX2 + -2X2 + (4KX + -6X) + 4K + 2 = 0

Reorder the terms:
2 + 4K + 4KX + KX2 + -6X + -2X2 = 0

Solving
2 + 4K + 4KX + KX2 + -6X + -2X2 = 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 + 4K + 4KX + KX2 + -6X + -2 + -2X2 = 0 + -2

Reorder the terms:
2 + -2 + 4K + 4KX + KX2 + -6X + -2X2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 4K + 4KX + KX2 + -6X + -2X2 = 0 + -2
4K + 4KX + KX2 + -6X + -2X2 = 0 + -2

Combine like terms: 0 + -2 = -2
4K + 4KX + KX2 + -6X + -2X2 = -2

Add '6X' to each side of the equation.
4K + 4KX + KX2 + -6X + 6X + -2X2 = -2 + 6X

Combine like terms: -6X + 6X = 0
4K + 4KX + KX2 + 0 + -2X2 = -2 + 6X
4K + 4KX + KX2 + -2X2 = -2 + 6X

Add '2X2' to each side of the equation.
4K + 4KX + KX2 + -2X2 + 2X2 = -2 + 6X + 2X2

Combine like terms: -2X2 + 2X2 = 0
4K + 4KX + KX2 + 0 = -2 + 6X + 2X2
4K + 4KX + KX2 = -2 + 6X + 2X2

Reorder the terms:
2 + 4K + 4KX + KX2 + -6X + -2X2 = -2 + 6X + 2X2 + 2 + -6X + -2X2

Reorder the terms:
2 + 4K + 4KX + KX2 + -6X + -2X2 = -2 + 2 + 6X + -6X + 2X2 + -2X2

Combine like terms: -2 + 2 = 0
2 + 4K + 4KX + KX2 + -6X + -2X2 = 0 + 6X + -6X + 2X2 + -2X2
2 + 4K + 4KX + KX2 + -6X + -2X2 = 6X + -6X + 2X2 + -2X2

Combine like terms: 6X + -6X = 0
2 + 4K + 4KX + KX2 + -6X + -2X2 = 0 + 2X2 + -2X2
2 + 4K + 4KX + KX2 + -6X + -2X2 = 2X2 + -2X2

Combine like terms: 2X2 + -2X2 = 0
2 + 4K + 4KX + KX2 + -6X + -2X2 = 0

The solution to this equation could not be determined.

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