36x-16x^3=9x^2-4x^4

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Solution for 36x-16x^3=9x^2-4x^4 equation: 


Simplifying
36x + -16x3 = 9x2 + -4x4

Solving
36x + -16x3 = 9x2 + -4x4

Solving for variable 'x'.

Reorder the terms:
36x + -9x2 + -16x3 + 4x4 = 9x2 + -4x4 + -9x2 + 4x4

Reorder the terms:
36x + -9x2 + -16x3 + 4x4 = 9x2 + -9x2 + -4x4 + 4x4

Combine like terms: 9x2 + -9x2 = 0
36x + -9x2 + -16x3 + 4x4 = 0 + -4x4 + 4x4
36x + -9x2 + -16x3 + 4x4 = -4x4 + 4x4

Combine like terms: -4x4 + 4x4 = 0
36x + -9x2 + -16x3 + 4x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(36 + -9x + -16x2 + 4x3) = 0


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 '(36 + -9x + -16x2 + 4x3)' equal to zero and attempt to solve:

Simplifying
36 + -9x + -16x2 + 4x3 = 0

Solving
36 + -9x + -16x2 + 4x3 = 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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