0=x^6+7x^3-8

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Solution for 0=x^6+7x^3-8 equation: 


Simplifying
0 = x6 + 7x3 + -8

Reorder the terms:
0 = -8 + 7x3 + x6

Solving
0 = -8 + 7x3 + x6

Solving for variable 'x'.

Combine like terms: 0 + 8 = 8
8 + -7x3 + -1x6 = -8 + 7x3 + x6 + 8 + -7x3 + -1x6

Reorder the terms:
8 + -7x3 + -1x6 = -8 + 8 + 7x3 + -7x3 + x6 + -1x6

Combine like terms: -8 + 8 = 0
8 + -7x3 + -1x6 = 0 + 7x3 + -7x3 + x6 + -1x6
8 + -7x3 + -1x6 = 7x3 + -7x3 + x6 + -1x6

Combine like terms: 7x3 + -7x3 = 0
8 + -7x3 + -1x6 = 0 + x6 + -1x6
8 + -7x3 + -1x6 = x6 + -1x6

Combine like terms: x6 + -1x6 = 0
8 + -7x3 + -1x6 = 0

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


Subproblem 1
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 2
Set the factor '(8 + x3)' equal to zero and attempt to solve:

Simplifying
8 + x3 = 0

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

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

Combine like terms: 0 + -8 = -8
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.

The solution to this equation could not be determined.

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