=-4y^3+6y^2+3y^4+3y

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Solution for =-4y^3+6y^2+3y^4+3y equation: 


Simplifying
0 = -4y3 + 6y2 + 3y4 + 3y

Reorder the terms:
0 = 3y + 6y2 + -4y3 + 3y4

Solving
0 = 3y + 6y2 + -4y3 + 3y4

Solving for variable 'y'.
Remove the zero:
-3y + -6y2 + 4y3 + -3y4 = 3y + 6y2 + -4y3 + 3y4 + -3y + -6y2 + 4y3 + -3y4

Reorder the terms:
-3y + -6y2 + 4y3 + -3y4 = 3y + -3y + 6y2 + -6y2 + -4y3 + 4y3 + 3y4 + -3y4

Combine like terms: 3y + -3y = 0
-3y + -6y2 + 4y3 + -3y4 = 0 + 6y2 + -6y2 + -4y3 + 4y3 + 3y4 + -3y4
-3y + -6y2 + 4y3 + -3y4 = 6y2 + -6y2 + -4y3 + 4y3 + 3y4 + -3y4

Combine like terms: 6y2 + -6y2 = 0
-3y + -6y2 + 4y3 + -3y4 = 0 + -4y3 + 4y3 + 3y4 + -3y4
-3y + -6y2 + 4y3 + -3y4 = -4y3 + 4y3 + 3y4 + -3y4

Combine like terms: -4y3 + 4y3 = 0
-3y + -6y2 + 4y3 + -3y4 = 0 + 3y4 + -3y4
-3y + -6y2 + 4y3 + -3y4 = 3y4 + -3y4

Combine like terms: 3y4 + -3y4 = 0
-3y + -6y2 + 4y3 + -3y4 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-3 + -6y + 4y2 + -3y3) = 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 '(-3 + -6y + 4y2 + -3y3)' equal to zero and attempt to solve:

Simplifying
-3 + -6y + 4y2 + -3y3 = 0

Solving
-3 + -6y + 4y2 + -3y3 = 0

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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