(3y+11)(9y+17)=0

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Solution for (3y+11)(9y+17)=0 equation: 


Simplifying
(3y + 11)(9y + 17) = 0

Reorder the terms:
(11 + 3y)(9y + 17) = 0

Reorder the terms:
(11 + 3y)(17 + 9y) = 0

Multiply (11 + 3y) * (17 + 9y)
(11(17 + 9y) + 3y * (17 + 9y)) = 0
((17 * 11 + 9y * 11) + 3y * (17 + 9y)) = 0
((187 + 99y) + 3y * (17 + 9y)) = 0
(187 + 99y + (17 * 3y + 9y * 3y)) = 0
(187 + 99y + (51y + 27y2)) = 0

Combine like terms: 99y + 51y = 150y
(187 + 150y + 27y2) = 0

Solving
187 + 150y + 27y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(11 + 3y)(17 + 9y) = 0


Subproblem 1
Set the factor '(11 + 3y)' equal to zero and attempt to solve:

Simplifying
11 + 3y = 0

Solving
11 + 3y = 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 + 3y = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 3y = 0 + -11
3y = 0 + -11

Combine like terms: 0 + -11 = -11
3y = -11

Divide each side by '3'.
y = -3.666666667

Simplifying
y = -3.666666667

Subproblem 2
Set the factor '(17 + 9y)' equal to zero and attempt to solve:

Simplifying
17 + 9y = 0

Solving
17 + 9y = 0

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

Add '-17' to each side of the equation.
17 + -17 + 9y = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 9y = 0 + -17
9y = 0 + -17

Combine like terms: 0 + -17 = -17
9y = -17

Divide each side by '9'.
y = -1.888888889

Simplifying
y = -1.888888889
Solution
y = {-3.666666667, -1.888888889}

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