20x^3-4x^4+4x^3=0

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Solution for 20x^3-4x^4+4x^3=0 equation:


Simplifying
20x3 + -4x4 + 4x3 = 0

Reorder the terms:
20x3 + 4x3 + -4x4 = 0

Combine like terms: 20x3 + 4x3 = 24x3
24x3 + -4x4 = 0

Solving
24x3 + -4x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x3'.
4x3(6 + -1x) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6

Solution

x = {6}

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