x^7+7x^4-8x=0

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Solution for x^7+7x^4-8x=0 equation: 


Simplifying
x7 + 7x4 + -8x = 0

Reorder the terms:
-8x + 7x4 + x7 = 0

Solving
-8x + 7x4 + x7 = 0

Solving for variable 'x'.

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

Factor a trinomial.
x((-8 + -1x3)(1 + -1x3)) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
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.

Subproblem 3
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.
Solution
x = {0}

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