9kx^2-4k=0

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Solution for 9kx^2-4k=0 equation: 


Simplifying
9kx2 + -4k = 0

Reorder the terms:
-4k + 9kx2 = 0

Solving
-4k + 9kx2 = 0

Solving for variable 'k'.

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

Factor out the Greatest Common Factor (GCF), 'k'.
k(-4 + 9x2) = 0

Factor a difference between two squares.
k((2 + 3x)(-2 + 3x)) = 0


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

Simplifying
k = 0

Solving
k = 0

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

Simplifying
k = 0

Subproblem 2
Set the factor '(2 + 3x)' equal to zero and attempt to solve:

Simplifying
2 + 3x = 0

Solving
2 + 3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 0 + -2
3x = 0 + -2

Combine like terms: 0 + -2 = -2
3x = -2

Add '-3x' to each side of the equation.
3x + -3x = -2 + -3x

Combine like terms: 3x + -3x = 0
0 = -2 + -3x

Simplifying
0 = -2 + -3x

The solution to this equation could not be determined.

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

Subproblem 3
Set the factor '(-2 + 3x)' equal to zero and attempt to solve:

Simplifying
-2 + 3x = 0

Solving
-2 + 3x = 0

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

Add '2' to each side of the equation.
-2 + 2 + 3x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = 0 + 2
3x = 0 + 2

Combine like terms: 0 + 2 = 2
3x = 2

Add '-3x' to each side of the equation.
3x + -3x = 2 + -3x

Combine like terms: 3x + -3x = 0
0 = 2 + -3x

Simplifying
0 = 2 + -3x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
k = {0}

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