(9k-2)x^2-(6k+1)x+k=0

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Solution for (9k-2)x^2-(6k+1)x+k=0 equation:


Simplifying
(9k + -2) * x2 + -1(6k + 1) * x + k = 0

Reorder the terms:
(-2 + 9k) * x2 + -1(6k + 1) * x + k = 0

Reorder the terms for easier multiplication:
x2(-2 + 9k) + -1(6k + 1) * x + k = 0
(-2 * x2 + 9k * x2) + -1(6k + 1) * x + k = 0

Reorder the terms:
(9kx2 + -2x2) + -1(6k + 1) * x + k = 0
(9kx2 + -2x2) + -1(6k + 1) * x + k = 0

Reorder the terms:
9kx2 + -2x2 + -1(1 + 6k) * x + k = 0

Reorder the terms for easier multiplication:
9kx2 + -2x2 + -1x(1 + 6k) + k = 0
9kx2 + -2x2 + (1 * -1x + 6k * -1x) + k = 0

Reorder the terms:
9kx2 + -2x2 + (-6kx + -1x) + k = 0
9kx2 + -2x2 + (-6kx + -1x) + k = 0

Reorder the terms:
k + -6kx + 9kx2 + -1x + -2x2 = 0

Solving
k + -6kx + 9kx2 + -1x + -2x2 = 0

Solving for variable 'k'.

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

Add 'x' to each side of the equation.
k + -6kx + 9kx2 + -1x + x + -2x2 = 0 + x

Combine like terms: -1x + x = 0
k + -6kx + 9kx2 + 0 + -2x2 = 0 + x
k + -6kx + 9kx2 + -2x2 = 0 + x
Remove the zero:
k + -6kx + 9kx2 + -2x2 = x

Add '2x2' to each side of the equation.
k + -6kx + 9kx2 + -2x2 + 2x2 = x + 2x2

Combine like terms: -2x2 + 2x2 = 0
k + -6kx + 9kx2 + 0 = x + 2x2
k + -6kx + 9kx2 = x + 2x2

Reorder the terms:
k + -6kx + 9kx2 + -1x + -2x2 = x + -1x + 2x2 + -2x2

Combine like terms: x + -1x = 0
k + -6kx + 9kx2 + -1x + -2x2 = 0 + 2x2 + -2x2
k + -6kx + 9kx2 + -1x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
k + -6kx + 9kx2 + -1x + -2x2 = 0

The solution to this equation could not be determined.

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