0=4x^4-4x^3-16x^2+16x

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Solution for 0=4x^4-4x^3-16x^2+16x equation: 


Simplifying
0 = 4x4 + -4x3 + -16x2 + 16x

Reorder the terms:
0 = 16x + -16x2 + -4x3 + 4x4

Solving
0 = 16x + -16x2 + -4x3 + 4x4

Solving for variable 'x'.
Remove the zero:
-16x + 16x2 + 4x3 + -4x4 = 16x + -16x2 + -4x3 + 4x4 + -16x + 16x2 + 4x3 + -4x4

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-4 + 4x + x2 + -1x3) = 0

Ignore the factor 4.

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 '(-4 + 4x + x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
-4 + 4x + x2 + -1x3 = 0

Solving
-4 + 4x + x2 + -1x3 = 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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