(9k-1)x^2-12(k-2)X+3+4k=0

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Solution for (9k-1)x^2-12(k-2)X+3+4k=0 equation: 


Simplifying
(9k + -1) * x2 + -12(k + -2) * X + 3 + 4k = 0

Reorder the terms:
(-1 + 9k) * x2 + -12(k + -2) * X + 3 + 4k = 0

Reorder the terms for easier multiplication:
x2(-1 + 9k) + -12(k + -2) * X + 3 + 4k = 0
(-1 * x2 + 9k * x2) + -12(k + -2) * X + 3 + 4k = 0

Reorder the terms:
(9kx2 + -1x2) + -12(k + -2) * X + 3 + 4k = 0
(9kx2 + -1x2) + -12(k + -2) * X + 3 + 4k = 0

Reorder the terms:
9kx2 + -1x2 + -12(-2 + k) * X + 3 + 4k = 0

Reorder the terms for easier multiplication:
9kx2 + -1x2 + -12X(-2 + k) + 3 + 4k = 0
9kx2 + -1x2 + (-2 * -12X + k * -12X) + 3 + 4k = 0
9kx2 + -1x2 + (24X + -12kX) + 3 + 4k = 0

Reorder the terms:
3 + 24X + 4k + -12kX + 9kx2 + -1x2 = 0

Solving
3 + 24X + 4k + -12kX + 9kx2 + -1x2 = 0

Solving for variable 'X'.

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

Add '-3' to each side of the equation.
3 + 24X + 4k + -12kX + 9kx2 + -3 + -1x2 = 0 + -3

Reorder the terms:
3 + -3 + 24X + 4k + -12kX + 9kx2 + -1x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 24X + 4k + -12kX + 9kx2 + -1x2 = 0 + -3
24X + 4k + -12kX + 9kx2 + -1x2 = 0 + -3

Combine like terms: 0 + -3 = -3
24X + 4k + -12kX + 9kx2 + -1x2 = -3

Add '-4k' to each side of the equation.
24X + 4k + -12kX + 9kx2 + -4k + -1x2 = -3 + -4k

Reorder the terms:
24X + 4k + -4k + -12kX + 9kx2 + -1x2 = -3 + -4k

Combine like terms: 4k + -4k = 0
24X + 0 + -12kX + 9kx2 + -1x2 = -3 + -4k
24X + -12kX + 9kx2 + -1x2 = -3 + -4k

Add '-9kx2' to each side of the equation.
24X + -12kX + 9kx2 + -9kx2 + -1x2 = -3 + -4k + -9kx2

Combine like terms: 9kx2 + -9kx2 = 0
24X + -12kX + 0 + -1x2 = -3 + -4k + -9kx2
24X + -12kX + -1x2 = -3 + -4k + -9kx2

Add 'x2' to each side of the equation.
24X + -12kX + -1x2 + x2 = -3 + -4k + -9kx2 + x2

Combine like terms: -1x2 + x2 = 0
24X + -12kX + 0 = -3 + -4k + -9kx2 + x2
24X + -12kX = -3 + -4k + -9kx2 + x2

Reorder the terms:
3 + 24X + 4k + -12kX + 9kx2 + -1x2 = -3 + -4k + -9kx2 + x2 + 3 + 4k + 9kx2 + -1x2

Reorder the terms:
3 + 24X + 4k + -12kX + 9kx2 + -1x2 = -3 + 3 + -4k + 4k + -9kx2 + 9kx2 + x2 + -1x2

Combine like terms: -3 + 3 = 0
3 + 24X + 4k + -12kX + 9kx2 + -1x2 = 0 + -4k + 4k + -9kx2 + 9kx2 + x2 + -1x2
3 + 24X + 4k + -12kX + 9kx2 + -1x2 = -4k + 4k + -9kx2 + 9kx2 + x2 + -1x2

Combine like terms: -4k + 4k = 0
3 + 24X + 4k + -12kX + 9kx2 + -1x2 = 0 + -9kx2 + 9kx2 + x2 + -1x2
3 + 24X + 4k + -12kX + 9kx2 + -1x2 = -9kx2 + 9kx2 + x2 + -1x2

Combine like terms: -9kx2 + 9kx2 = 0
3 + 24X + 4k + -12kX + 9kx2 + -1x2 = 0 + x2 + -1x2
3 + 24X + 4k + -12kX + 9kx2 + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
3 + 24X + 4k + -12kX + 9kx2 + -1x2 = 0

The solution to this equation could not be determined.

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