y^6-10y^3=-16

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Solution for y^6-10y^3=-16 equation: 


Simplifying
y6 + -10y3 = -16

Reorder the terms:
-10y3 + y6 = -16

Solving
-10y3 + y6 = -16

Solving for variable 'y'.

Reorder the terms:
16 + -10y3 + y6 = -16 + 16

Combine like terms: -16 + 16 = 0
16 + -10y3 + y6 = 0

Factor a trinomial.
(2 + -1y3)(8 + -1y3) = 0


Subproblem 1
Set the factor '(2 + -1y3)' equal to zero and attempt to solve:

Simplifying
2 + -1y3 = 0

Solving
2 + -1y3 = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1y3 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y3 = 0 + -2
-1y3 = 0 + -2

Combine like terms: 0 + -2 = -2
-1y3 = -2

Divide each side by '-1'.
y3 = 2

Simplifying
y3 = 2

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 + -1y3)' equal to zero and attempt to solve:

Simplifying
8 + -1y3 = 0

Solving
8 + -1y3 = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1y3 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1y3 = 0 + -8
-1y3 = 0 + -8

Combine like terms: 0 + -8 = -8
-1y3 = -8

Divide each side by '-1'.
y3 = 8

Simplifying
y3 = 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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