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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