3y(2y+1)+2y(y+6)=

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Solution for 3y(2y+1)+2y(y+6)= equation: 


Simplifying
3y(2y + 1) + 2y(y + 6) = 0

Reorder the terms:
3y(1 + 2y) + 2y(y + 6) = 0
(1 * 3y + 2y * 3y) + 2y(y + 6) = 0
(3y + 6y2) + 2y(y + 6) = 0

Reorder the terms:
3y + 6y2 + 2y(6 + y) = 0
3y + 6y2 + (6 * 2y + y * 2y) = 0
3y + 6y2 + (12y + 2y2) = 0

Reorder the terms:
3y + 12y + 6y2 + 2y2 = 0

Combine like terms: 3y + 12y = 15y
15y + 6y2 + 2y2 = 0

Combine like terms: 6y2 + 2y2 = 8y2
15y + 8y2 = 0

Solving
15y + 8y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(15 + 8y) = 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 '(15 + 8y)' equal to zero and attempt to solve:

Simplifying
15 + 8y = 0

Solving
15 + 8y = 0

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

Add '-15' to each side of the equation.
15 + -15 + 8y = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 8y = 0 + -15
8y = 0 + -15

Combine like terms: 0 + -15 = -15
8y = -15

Divide each side by '8'.
y = -1.875

Simplifying
y = -1.875
Solution
y = {0, -1.875}

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