y^3+6y+5y=0

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Solution for y^3+6y+5y=0 equation: 


Simplifying
y3 + 6y + 5y = 0

Reorder the terms:
6y + 5y + y3 = 0

Combine like terms: 6y + 5y = 11y
11y + y3 = 0

Solving
11y + y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(11 + y2) = 0


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

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
Set the factor '(11 + y2)' equal to zero and attempt to solve:

Simplifying
11 + y2 = 0

Solving
11 + y2 = 0

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

Add '-11' to each side of the equation.
11 + -11 + y2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + y2 = 0 + -11
y2 = 0 + -11

Combine like terms: 0 + -11 = -11
y2 = -11

Simplifying
y2 = -11

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
y = {0}

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