(3-3y^2)-2y(3-3y^2)+3y^2=27

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Solution for (3-3y^2)-2y(3-3y^2)+3y^2=27 equation: 


Simplifying
(3 + -3y2) + -2y(3 + -3y2) + 3y2 = 27

Remove parenthesis around (3 + -3y2)
3 + -3y2 + -2y(3 + -3y2) + 3y2 = 27
3 + -3y2 + (3 * -2y + -3y2 * -2y) + 3y2 = 27
3 + -3y2 + (-6y + 6y3) + 3y2 = 27

Reorder the terms:
3 + -6y + -3y2 + 3y2 + 6y3 = 27

Combine like terms: -3y2 + 3y2 = 0
3 + -6y + 0 + 6y3 = 27
3 + -6y + 6y3 = 27

Solving
3 + -6y + 6y3 = 27

Solving for variable 'y'.

Reorder the terms:
3 + -27 + -6y + 6y3 = 27 + -27

Combine like terms: 3 + -27 = -24
-24 + -6y + 6y3 = 27 + -27

Combine like terms: 27 + -27 = 0
-24 + -6y + 6y3 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-4 + -1y + y3) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-4 + -1y + y3)' equal to zero and attempt to solve:

Simplifying
-4 + -1y + y3 = 0

Solving
-4 + -1y + y3 = 0

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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