(2K+8)X^2-(4K-3)X+(2K+3)=0

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Solution for (2K+8)X^2-(4K-3)X+(2K+3)=0 equation: 


Simplifying
(2K + 8) * X2 + -1(4K + -3) * X + (2K + 3) = 0

Reorder the terms:
(8 + 2K) * X2 + -1(4K + -3) * X + (2K + 3) = 0

Reorder the terms for easier multiplication:
X2(8 + 2K) + -1(4K + -3) * X + (2K + 3) = 0
(8 * X2 + 2K * X2) + -1(4K + -3) * X + (2K + 3) = 0

Reorder the terms:
(2KX2 + 8X2) + -1(4K + -3) * X + (2K + 3) = 0
(2KX2 + 8X2) + -1(4K + -3) * X + (2K + 3) = 0

Reorder the terms:
2KX2 + 8X2 + -1(-3 + 4K) * X + (2K + 3) = 0

Reorder the terms for easier multiplication:
2KX2 + 8X2 + -1X(-3 + 4K) + (2K + 3) = 0
2KX2 + 8X2 + (-3 * -1X + 4K * -1X) + (2K + 3) = 0

Reorder the terms:
2KX2 + 8X2 + (-4KX + 3X) + (2K + 3) = 0
2KX2 + 8X2 + (-4KX + 3X) + (2K + 3) = 0

Reorder the terms:
2KX2 + 8X2 + -4KX + 3X + (3 + 2K) = 0

Remove parenthesis around (3 + 2K)
2KX2 + 8X2 + -4KX + 3X + 3 + 2K = 0

Reorder the terms:
3 + 2K + -4KX + 2KX2 + 3X + 8X2 = 0

Solving
3 + 2K + -4KX + 2KX2 + 3X + 8X2 = 0

Solving for variable 'K'.

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

Add '-3' to each side of the equation.
3 + 2K + -4KX + 2KX2 + 3X + -3 + 8X2 = 0 + -3

Reorder the terms:
3 + -3 + 2K + -4KX + 2KX2 + 3X + 8X2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2K + -4KX + 2KX2 + 3X + 8X2 = 0 + -3
2K + -4KX + 2KX2 + 3X + 8X2 = 0 + -3

Combine like terms: 0 + -3 = -3
2K + -4KX + 2KX2 + 3X + 8X2 = -3

Add '-3X' to each side of the equation.
2K + -4KX + 2KX2 + 3X + -3X + 8X2 = -3 + -3X

Combine like terms: 3X + -3X = 0
2K + -4KX + 2KX2 + 0 + 8X2 = -3 + -3X
2K + -4KX + 2KX2 + 8X2 = -3 + -3X

Add '-8X2' to each side of the equation.
2K + -4KX + 2KX2 + 8X2 + -8X2 = -3 + -3X + -8X2

Combine like terms: 8X2 + -8X2 = 0
2K + -4KX + 2KX2 + 0 = -3 + -3X + -8X2
2K + -4KX + 2KX2 = -3 + -3X + -8X2

Reorder the terms:
3 + 2K + -4KX + 2KX2 + 3X + 8X2 = -3 + -3X + -8X2 + 3 + 3X + 8X2

Reorder the terms:
3 + 2K + -4KX + 2KX2 + 3X + 8X2 = -3 + 3 + -3X + 3X + -8X2 + 8X2

Combine like terms: -3 + 3 = 0
3 + 2K + -4KX + 2KX2 + 3X + 8X2 = 0 + -3X + 3X + -8X2 + 8X2
3 + 2K + -4KX + 2KX2 + 3X + 8X2 = -3X + 3X + -8X2 + 8X2

Combine like terms: -3X + 3X = 0
3 + 2K + -4KX + 2KX2 + 3X + 8X2 = 0 + -8X2 + 8X2
3 + 2K + -4KX + 2KX2 + 3X + 8X2 = -8X2 + 8X2

Combine like terms: -8X2 + 8X2 = 0
3 + 2K + -4KX + 2KX2 + 3X + 8X2 = 0

The solution to this equation could not be determined.

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