x^8-7x^5-8x^2=0

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Solution for x^8-7x^5-8x^2=0 equation: 


Simplifying
x8 + -7x5 + -8x2 = 0

Reorder the terms:
-8x2 + -7x5 + x8 = 0

Solving
-8x2 + -7x5 + x8 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-8 + -7x3 + x6) = 0

Factor a trinomial.
x2((-1 + -1x3)(8 + -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 '(-1 + -1x3)' equal to zero and attempt to solve:

Simplifying
-1 + -1x3 = 0

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

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

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

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

Simplifying
x3 = -1

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 '(8 + -1x3)' equal to zero and attempt to solve:

Simplifying
8 + -1x3 = 0

Solving
8 + -1x3 = 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 + -1x3 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x3 = 0 + -8
-1x3 = 0 + -8

Combine like terms: 0 + -8 = -8
-1x3 = -8

Divide each side by '-1'.
x3 = 8

Simplifying
x3 = 8

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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