0=x^3(4-x)

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Solution for 0=x^3(4-x) equation:


Simplifying
0 = x3(4 + -1x)
0 = (4 * x3 + -1x * x3)
0 = (4x3 + -1x4)

Solving
0 = 4x3 + -1x4

Solving for variable 'x'.
Remove the zero:
-4x3 + x4 = 4x3 + -1x4 + -4x3 + x4

Reorder the terms:
-4x3 + x4 = 4x3 + -4x3 + -1x4 + x4

Combine like terms: 4x3 + -4x3 = 0
-4x3 + x4 = 0 + -1x4 + x4
-4x3 + x4 = -1x4 + x4

Combine like terms: -1x4 + x4 = 0
-4x3 + x4 = 0

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

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 '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4

Solution

x = {4}

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