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

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


Simplifying
2x2 + (3k + -1) * x(3k2 + -1) = 0

Reorder the terms:
2x2 + (-1 + 3k) * x(3k2 + -1) = 0

Reorder the terms:
2x2 + (-1 + 3k) * x(-1 + 3k2) = 0

Reorder the terms for easier multiplication:
2x2 + x(-1 + 3k)(-1 + 3k2) = 0

Multiply (-1 + 3k) * (-1 + 3k2)
2x2 + x(-1(-1 + 3k2) + 3k * (-1 + 3k2)) = 0
2x2 + x((-1 * -1 + 3k2 * -1) + 3k * (-1 + 3k2)) = 0
2x2 + x((1 + -3k2) + 3k * (-1 + 3k2)) = 0
2x2 + x(1 + -3k2 + (-1 * 3k + 3k2 * 3k)) = 0
2x2 + x(1 + -3k2 + (-3k + 9k3)) = 0

Reorder the terms:
2x2 + x(1 + -3k + -3k2 + 9k3) = 0
2x2 + x(1 + -3k + -3k2 + 9k3) = 0
2x2 + (1 * x + -3k * x + -3k2 * x + 9k3 * x) = 0

Reorder the terms:
2x2 + (-3kx + -3k2x + 9k3x + 1x) = 0
2x2 + (-3kx + -3k2x + 9k3x + 1x) = 0

Reorder the terms:
-3kx + -3k2x + 9k3x + 1x + 2x2 = 0

Solving
-3kx + -3k2x + 9k3x + 1x + 2x2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3k + -3k2 + 9k3 + 1 + 2x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-3k + -3k2 + 9k3 + 1 + 2x)' equal to zero and attempt to solve:

Simplifying
-3k + -3k2 + 9k3 + 1 + 2x = 0

Reorder the terms:
1 + -3k + -3k2 + 9k3 + 2x = 0

Solving
1 + -3k + -3k2 + 9k3 + 2x = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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