50x^5-128x^3=0

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Solution for 50x^5-128x^3=0 equation: 


Simplifying
50x5 + -128x3 = 0

Reorder the terms:
-128x3 + 50x5 = 0

Solving
-128x3 + 50x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x3'.
2x3(-64 + 25x2) = 0

Factor a difference between two squares.
2x3((8 + 5x)(-8 + 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 '(8 + 5x)' equal to zero and attempt to solve:

Simplifying
8 + 5x = 0

Solving
8 + 5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + 5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = 0 + -8
5x = 0 + -8

Combine like terms: 0 + -8 = -8
5x = -8

Divide each side by '5'.
x = -1.6

Simplifying
x = -1.6

Subproblem 3
Set the factor '(-8 + 5x)' equal to zero and attempt to solve:

Simplifying
-8 + 5x = 0

Solving
-8 + 5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + 5x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = 0 + 8
5x = 0 + 8

Combine like terms: 0 + 8 = 8
5x = 8

Divide each side by '5'.
x = 1.6

Simplifying
x = 1.6
Solution
x = {-1.6, 1.6}

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