2x^3(5x-1)=0

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Solution for 2x^3(5x-1)=0 equation: 


Simplifying
2x3(5x + -1) = 0

Reorder the terms:
2x3(-1 + 5x) = 0
(-1 * 2x3 + 5x * 2x3) = 0
(-2x3 + 10x4) = 0

Solving
-2x3 + 10x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x3'.
2x3(-1 + 5x) = 0

Ignore the factor 2.

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 '(-1 + 5x)' equal to zero and attempt to solve:

Simplifying
-1 + 5x = 0

Solving
-1 + 5x = 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 + 5x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 5x = 0 + 1
5x = 0 + 1

Combine like terms: 0 + 1 = 1
5x = 1

Divide each side by '5'.
x = 0.2

Simplifying
x = 0.2
Solution
x = {0.2}

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