5x^5-7x^3=0

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Solution for 5x^5-7x^3=0 equation: 


Simplifying
5x5 + -7x3 = 0

Reorder the terms:
-7x3 + 5x5 = 0

Solving
-7x3 + 5x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x3'.
x3(-7 + 5x2) = 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 '(-7 + 5x2)' equal to zero and attempt to solve:

Simplifying
-7 + 5x2 = 0

Solving
-7 + 5x2 = 0

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

Add '7' to each side of the equation.
-7 + 7 + 5x2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 5x2 = 0 + 7
5x2 = 0 + 7

Combine like terms: 0 + 7 = 7
5x2 = 7

Divide each side by '5'.
x2 = 1.4

Simplifying
x2 = 1.4

Take the square root of each side:
x = {-1.183215957, 1.183215957}
Solution
x = {-1.183215957, 1.183215957}

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