x^8-25x^5-54x^2=0

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Solution for x^8-25x^5-54x^2=0 equation: 


Simplifying
x8 + -25x5 + -54x2 = 0

Reorder the terms:
-54x2 + -25x5 + x8 = 0

Solving
-54x2 + -25x5 + x8 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-54 + -25x3 + x6) = 0

Factor a trinomial.
x2((-2 + -1x3)(27 + -1x3)) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-2 + -1x3)' equal to zero and attempt to solve:

Simplifying
-2 + -1x3 = 0

Solving
-2 + -1x3 = 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 + -1x3 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x3 = 0 + 2
-1x3 = 0 + 2

Combine like terms: 0 + 2 = 2
-1x3 = 2

Divide each side by '-1'.
x3 = -2

Simplifying
x3 = -2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(27 + -1x3)' equal to zero and attempt to solve:

Simplifying
27 + -1x3 = 0

Solving
27 + -1x3 = 0

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

Add '-27' to each side of the equation.
27 + -27 + -1x3 = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -1x3 = 0 + -27
-1x3 = 0 + -27

Combine like terms: 0 + -27 = -27
-1x3 = -27

Divide each side by '-1'.
x3 = 27

Simplifying
x3 = 27

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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