(x^6)-(6x^3)-7=0

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Solution for (x^6)-(6x^3)-7=0 equation: 


Simplifying
(x6) + -1(6x3) + -7 = 0
x6 + -1(6x3) + -7 = 0

Remove parenthesis around (6x3)
x6 + -1 * 6x3 + -7 = 0

Multiply -1 * 6
x6 + -6x3 + -7 = 0

Reorder the terms:
-7 + -6x3 + x6 = 0

Solving
-7 + -6x3 + x6 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -1x3)(7 + -1x3) = 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 '(7 + -1x3)' equal to zero and attempt to solve:

Simplifying
7 + -1x3 = 0

Solving
7 + -1x3 = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x3 = 0 + -7

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

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

Divide each side by '-1'.
x3 = 7

Simplifying
x3 = 7

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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