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

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


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

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

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

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

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

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

Combine like terms: 24 + 3 = 27
27 + -12k + 4k + 9kx2 + -1x2 = 0

Combine like terms: -12k + 4k = -8k
27 + -8k + 9kx2 + -1x2 = 0

Solving
27 + -8k + 9kx2 + -1x2 = 0

Solving for variable 'k'.

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

Add '-27' to each side of the equation.
27 + -8k + 9kx2 + -27 + -1x2 = 0 + -27

Reorder the terms:
27 + -27 + -8k + 9kx2 + -1x2 = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -8k + 9kx2 + -1x2 = 0 + -27
-8k + 9kx2 + -1x2 = 0 + -27

Combine like terms: 0 + -27 = -27
-8k + 9kx2 + -1x2 = -27

Add 'x2' to each side of the equation.
-8k + 9kx2 + -1x2 + x2 = -27 + x2

Combine like terms: -1x2 + x2 = 0
-8k + 9kx2 + 0 = -27 + x2
-8k + 9kx2 = -27 + x2

Reorder the terms:
27 + -8k + 9kx2 + -1x2 = -27 + x2 + 27 + -1x2

Reorder the terms:
27 + -8k + 9kx2 + -1x2 = -27 + 27 + x2 + -1x2

Combine like terms: -27 + 27 = 0
27 + -8k + 9kx2 + -1x2 = 0 + x2 + -1x2
27 + -8k + 9kx2 + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
27 + -8k + 9kx2 + -1x2 = 0

The solution to this equation could not be determined.

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