0=k(2x^4-5Lx^3+3L^2X^2)

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Solution for 0=k(2x^4-5Lx^3+3L^2X^2) equation: 


Simplifying
0 = k(2x4 + -5Lx3 + 3L2X2)

Reorder the terms:
0 = k(3L2X2 + -5x3L + 2x4)
0 = (3L2X2 * k + -5x3L * k + 2x4 * k)
0 = (3kL2X2 + -5kx3L + 2kx4)

Solving
0 = 3kL2X2 + -5kx3L + 2kx4

Solving for variable 'k'.

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

Add '-3kL2X2' to each side of the equation.
0 + -3kL2X2 = 3kL2X2 + -5kx3L + -3kL2X2 + 2kx4
Remove the zero:
-3kL2X2 = 3kL2X2 + -5kx3L + -3kL2X2 + 2kx4

Reorder the terms:
-3kL2X2 = 3kL2X2 + -3kL2X2 + -5kx3L + 2kx4

Combine like terms: 3kL2X2 + -3kL2X2 = 0
-3kL2X2 = 0 + -5kx3L + 2kx4
-3kL2X2 = -5kx3L + 2kx4

Add '5kx3L' to each side of the equation.
-3kL2X2 + 5kx3L = -5kx3L + 5kx3L + 2kx4

Combine like terms: -5kx3L + 5kx3L = 0
-3kL2X2 + 5kx3L = 0 + 2kx4
-3kL2X2 + 5kx3L = 2kx4

Add '-2kx4' to each side of the equation.
-3kL2X2 + 5kx3L + -2kx4 = 2kx4 + -2kx4

Combine like terms: 2kx4 + -2kx4 = 0
-3kL2X2 + 5kx3L + -2kx4 = 0

Factor out the Greatest Common Factor (GCF), 'k'.
k(-3L2X2 + 5x3L + -2x4) = 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 '(-3L2X2 + 5x3L + -2x4)' equal to zero and attempt to solve:

Simplifying
-3L2X2 + 5x3L + -2x4 = 0

Solving
-3L2X2 + 5x3L + -2x4 = 0

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

Add '3L2X2' to each side of the equation.
-3L2X2 + 5x3L + 3L2X2 + -2x4 = 0 + 3L2X2

Reorder the terms:
-3L2X2 + 3L2X2 + 5x3L + -2x4 = 0 + 3L2X2

Combine like terms: -3L2X2 + 3L2X2 = 0
0 + 5x3L + -2x4 = 0 + 3L2X2
5x3L + -2x4 = 0 + 3L2X2
Remove the zero:
5x3L + -2x4 = 3L2X2

Add '-5x3L' to each side of the equation.
5x3L + -5x3L + -2x4 = 3L2X2 + -5x3L

Combine like terms: 5x3L + -5x3L = 0
0 + -2x4 = 3L2X2 + -5x3L
-2x4 = 3L2X2 + -5x3L

Add '2x4' to each side of the equation.
-2x4 + 2x4 = 3L2X2 + -5x3L + 2x4

Combine like terms: -2x4 + 2x4 = 0
0 = 3L2X2 + -5x3L + 2x4

Simplifying
0 = 3L2X2 + -5x3L + 2x4

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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