3y^2+12y+4y=0

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Solution for 3y^2+12y+4y=0 equation: 


Simplifying
3y2 + 12y + 4y = 0

Reorder the terms:
12y + 4y + 3y2 = 0

Combine like terms: 12y + 4y = 16y
16y + 3y2 = 0

Solving
16y + 3y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(16 + 3y) = 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 '(16 + 3y)' equal to zero and attempt to solve:

Simplifying
16 + 3y = 0

Solving
16 + 3y = 0

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

Add '-16' to each side of the equation.
16 + -16 + 3y = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 3y = 0 + -16
3y = 0 + -16

Combine like terms: 0 + -16 = -16
3y = -16

Divide each side by '3'.
y = -5.333333333

Simplifying
y = -5.333333333
Solution
y = {0, -5.333333333}

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