36x^4-64x^2=L(6x^2+8x)

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Solution for 36x^4-64x^2=L(6x^2+8x) equation: 


Simplifying
36x4 + -64x2 = L(6x2 + 8x)

Reorder the terms:
-64x2 + 36x4 = L(6x2 + 8x)

Reorder the terms:
-64x2 + 36x4 = L(8x + 6x2)
-64x2 + 36x4 = (8x * L + 6x2 * L)
-64x2 + 36x4 = (8xL + 6x2L)

Solving
-64x2 + 36x4 = 8xL + 6x2L

Solving for variable 'x'.

Reorder the terms:
-8xL + -64x2 + -6x2L + 36x4 = 8xL + 6x2L + -8xL + -6x2L

Reorder the terms:
-8xL + -64x2 + -6x2L + 36x4 = 8xL + -8xL + 6x2L + -6x2L

Combine like terms: 8xL + -8xL = 0
-8xL + -64x2 + -6x2L + 36x4 = 0 + 6x2L + -6x2L
-8xL + -64x2 + -6x2L + 36x4 = 6x2L + -6x2L

Combine like terms: 6x2L + -6x2L = 0
-8xL + -64x2 + -6x2L + 36x4 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-4L + -32x + -3xL + 18x3) = 0

Ignore the factor 2.

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-4L + -32x + -3xL + 18x3)' equal to zero and attempt to solve:

Simplifying
-4L + -32x + -3xL + 18x3 = 0

Solving
-4L + -32x + -3xL + 18x3 = 0

The solution to this equation could not be determined.

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

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