y(y+2)+2y(y+4)=

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Solution for y(y+2)+2y(y+4)= equation: 


Simplifying
y(y + 2) + 2y(y + 4) = 0

Reorder the terms:
y(2 + y) + 2y(y + 4) = 0
(2 * y + y * y) + 2y(y + 4) = 0
(2y + y2) + 2y(y + 4) = 0

Reorder the terms:
2y + y2 + 2y(4 + y) = 0
2y + y2 + (4 * 2y + y * 2y) = 0
2y + y2 + (8y + 2y2) = 0

Reorder the terms:
2y + 8y + y2 + 2y2 = 0

Combine like terms: 2y + 8y = 10y
10y + y2 + 2y2 = 0

Combine like terms: y2 + 2y2 = 3y2
10y + 3y2 = 0

Solving
10y + 3y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(10 + 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 '(10 + 3y)' equal to zero and attempt to solve:

Simplifying
10 + 3y = 0

Solving
10 + 3y = 0

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

Add '-10' to each side of the equation.
10 + -10 + 3y = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3y = 0 + -10
3y = 0 + -10

Combine like terms: 0 + -10 = -10
3y = -10

Divide each side by '3'.
y = -3.333333333

Simplifying
y = -3.333333333
Solution
y = {0, -3.333333333}

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