y=y^3+6y^2+3y+3

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Solution for y=y^3+6y^2+3y+3 equation:


Simplifying
y = y3 + 6y2 + 3y + 3

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

Solving
y = 3 + 3y + 6y2 + y3

Solving for variable 'y'.

Reorder the terms:
-3 + y + -3y + -6y2 + -1y3 = 3 + 3y + 6y2 + y3 + -3 + -3y + -6y2 + -1y3

Combine like terms: y + -3y = -2y
-3 + -2y + -6y2 + -1y3 = 3 + 3y + 6y2 + y3 + -3 + -3y + -6y2 + -1y3

Reorder the terms:
-3 + -2y + -6y2 + -1y3 = 3 + -3 + 3y + -3y + 6y2 + -6y2 + y3 + -1y3

Combine like terms: 3 + -3 = 0
-3 + -2y + -6y2 + -1y3 = 0 + 3y + -3y + 6y2 + -6y2 + y3 + -1y3
-3 + -2y + -6y2 + -1y3 = 3y + -3y + 6y2 + -6y2 + y3 + -1y3

Combine like terms: 3y + -3y = 0
-3 + -2y + -6y2 + -1y3 = 0 + 6y2 + -6y2 + y3 + -1y3
-3 + -2y + -6y2 + -1y3 = 6y2 + -6y2 + y3 + -1y3

Combine like terms: 6y2 + -6y2 = 0
-3 + -2y + -6y2 + -1y3 = 0 + y3 + -1y3
-3 + -2y + -6y2 + -1y3 = y3 + -1y3

Combine like terms: y3 + -1y3 = 0
-3 + -2y + -6y2 + -1y3 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + 2y + 6y2 + y3) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(3 + 2y + 6y2 + y3)' equal to zero and attempt to solve: Simplifying 3 + 2y + 6y2 + y3 = 0 Solving 3 + 2y + 6y2 + 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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