25x^9-4x^7=0

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Solution for 25x^9-4x^7=0 equation: 


Simplifying
25x9 + -4x7 = 0

Reorder the terms:
-4x7 + 25x9 = 0

Solving
-4x7 + 25x9 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x7'.
x7(-4 + 25x2) = 0

Factor a difference between two squares.
x7((2 + 5x)(-2 + 5x)) = 0


Subproblem 1
Set the factor 'x7' equal to zero and attempt to solve:

Simplifying
x7 = 0

Solving
x7 = 0

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

Simplifying
x7 = 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 '(2 + 5x)' equal to zero and attempt to solve:

Simplifying
2 + 5x = 0

Solving
2 + 5x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 0 + -2
5x = 0 + -2

Combine like terms: 0 + -2 = -2
5x = -2

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4

Subproblem 3
Set the factor '(-2 + 5x)' equal to zero and attempt to solve:

Simplifying
-2 + 5x = 0

Solving
-2 + 5x = 0

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

Add '2' to each side of the equation.
-2 + 2 + 5x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 5x = 0 + 2
5x = 0 + 2

Combine like terms: 0 + 2 = 2
5x = 2

Divide each side by '5'.
x = 0.4

Simplifying
x = 0.4
Solution
x = {-0.4, 0.4}

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