(3y+5)(2y+11)=0

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Solution for (3y+5)(2y+11)=0 equation: 


Simplifying
(3y + 5)(2y + 11) = 0

Reorder the terms:
(5 + 3y)(2y + 11) = 0

Reorder the terms:
(5 + 3y)(11 + 2y) = 0

Multiply (5 + 3y) * (11 + 2y)
(5(11 + 2y) + 3y * (11 + 2y)) = 0
((11 * 5 + 2y * 5) + 3y * (11 + 2y)) = 0
((55 + 10y) + 3y * (11 + 2y)) = 0
(55 + 10y + (11 * 3y + 2y * 3y)) = 0
(55 + 10y + (33y + 6y2)) = 0

Combine like terms: 10y + 33y = 43y
(55 + 43y + 6y2) = 0

Solving
55 + 43y + 6y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(11 + 2y)(5 + 3y) = 0


Subproblem 1
Set the factor '(11 + 2y)' equal to zero and attempt to solve:

Simplifying
11 + 2y = 0

Solving
11 + 2y = 0

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

Add '-11' to each side of the equation.
11 + -11 + 2y = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 2y = 0 + -11
2y = 0 + -11

Combine like terms: 0 + -11 = -11
2y = -11

Divide each side by '2'.
y = -5.5

Simplifying
y = -5.5

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 = {-5.5, -1.666666667}

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