9k^3x+36k^2x^2+36kx^3=0

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Solution for 9k^3x+36k^2x^2+36kx^3=0 equation: 


Simplifying
9k3x + 36k2x2 + 36kx3 = 0

Reorder the terms:
36kx3 + 36k2x2 + 9k3x = 0

Solving
36kx3 + 36k2x2 + 9k3x = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '9kx'.
9kx(4x2 + 4kx + k2) = 0

Factor a trinomial.
9kx((2x + k)(2x + k)) = 0

Ignore the factor 9.

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

Simplifying
kx = 0

Solving
kx = 0

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

Simplifying
kx = 0

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 '(2x + k)' equal to zero and attempt to solve:

Simplifying
2x + k = 0

Reorder the terms:
k + 2x = 0

Solving
k + 2x = 0

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

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

Combine like terms: 2x + -2x = 0
k + 0 = 0 + -2x
k = 0 + -2x
Remove the zero:
k = -2x

Simplifying
k = -2x

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

Simplifying
2x + k = 0

Reorder the terms:
k + 2x = 0

Solving
k + 2x = 0

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

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

Combine like terms: 2x + -2x = 0
k + 0 = 0 + -2x
k = 0 + -2x
Remove the zero:
k = -2x

Simplifying
k = -2x
Solution
k = {-2x, -2x}

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