0=20x^4-20x

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Solution for 0=20x^4-20x equation:


Simplifying
0 = 20x4 + -20x

Reorder the terms:
0 = -20x + 20x4

Solving
0 = -20x + 20x4

Solving for variable 'x'.
Remove the zero:
20x + -20x4 = -20x + 20x4 + 20x + -20x4

Reorder the terms:
20x + -20x4 = -20x + 20x + 20x4 + -20x4

Combine like terms: -20x + 20x = 0
20x + -20x4 = 0 + 20x4 + -20x4
20x + -20x4 = 20x4 + -20x4

Combine like terms: 20x4 + -20x4 = 0
20x + -20x4 = 0

Factor out the Greatest Common Factor (GCF), '20x'.
20x(1 + -1x3) = 0

Ignore the factor 20.

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 '(1 + -1x3)' equal to zero and attempt to solve: Simplifying 1 + -1x3 = 0 Solving 1 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x3 = 0 + -1 -1x3 = 0 + -1 Combine like terms: 0 + -1 = -1 -1x3 = -1 Divide each side by '-1'. x3 = 1 Simplifying x3 = 1 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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