2y(11+3y)=12y

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Solution for 2y(11+3y)=12y equation: 


Simplifying
2y(11 + 3y) = 12y
(11 * 2y + 3y * 2y) = 12y
(22y + 6y2) = 12y

Solving
22y + 6y2 = 12y

Solving for variable 'y'.

Reorder the terms:
22y + -12y + 6y2 = 12y + -12y

Combine like terms: 22y + -12y = 10y
10y + 6y2 = 12y + -12y

Combine like terms: 12y + -12y = 0
10y + 6y2 = 0

Factor out the Greatest Common Factor (GCF), '2y'.
2y(5 + 3y) = 0

Ignore the factor 2.

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 '(5 + 3y)' equal to zero and attempt to solve:

Simplifying
5 + 3y = 0

Solving
5 + 3y = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3y = 0 + -5
3y = 0 + -5

Combine like terms: 0 + -5 = -5
3y = -5

Divide each side by '3'.
y = -1.666666667

Simplifying
y = -1.666666667
Solution
y = {0, -1.666666667}

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