0=x^3(5x-4)

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Solution for 0=x^3(5x-4) equation: 


Simplifying
0 = x3(5x + -4)

Reorder the terms:
0 = x3(-4 + 5x)
0 = (-4 * x3 + 5x * x3)
0 = (-4x3 + 5x4)

Solving
0 = -4x3 + 5x4

Solving for variable 'x'.
Remove the zero:
4x3 + -5x4 = -4x3 + 5x4 + 4x3 + -5x4

Reorder the terms:
4x3 + -5x4 = -4x3 + 4x3 + 5x4 + -5x4

Combine like terms: -4x3 + 4x3 = 0
4x3 + -5x4 = 0 + 5x4 + -5x4
4x3 + -5x4 = 5x4 + -5x4

Combine like terms: 5x4 + -5x4 = 0
4x3 + -5x4 = 0

Factor out the Greatest Common Factor (GCF), 'x3'.
x3(4 + -5x) = 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 + -5x)' equal to zero and attempt to solve:

Simplifying
4 + -5x = 0

Solving
4 + -5x = 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 + -5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = 0 + -4
-5x = 0 + -4

Combine like terms: 0 + -4 = -4
-5x = -4

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8
Solution
x = {0.8}

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