3y^2+9y+16y=0

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Solution for 3y^2+9y+16y=0 equation: 


Simplifying
3y2 + 9y + 16y = 0

Reorder the terms:
9y + 16y + 3y2 = 0

Combine like terms: 9y + 16y = 25y
25y + 3y2 = 0

Solving
25y + 3y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(25 + 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 '(25 + 3y)' equal to zero and attempt to solve:

Simplifying
25 + 3y = 0

Solving
25 + 3y = 0

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

Add '-25' to each side of the equation.
25 + -25 + 3y = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 3y = 0 + -25
3y = 0 + -25

Combine like terms: 0 + -25 = -25
3y = -25

Divide each side by '3'.
y = -8.333333333

Simplifying
y = -8.333333333
Solution
y = {0, -8.333333333}

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