(3y+11)(2y+21)=0

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Solution for (3y+11)(2y+21)=0 equation: 


Simplifying
(3y + 11)(2y + 21) = 0

Reorder the terms:
(11 + 3y)(2y + 21) = 0

Reorder the terms:
(11 + 3y)(21 + 2y) = 0

Multiply (11 + 3y) * (21 + 2y)
(11(21 + 2y) + 3y * (21 + 2y)) = 0
((21 * 11 + 2y * 11) + 3y * (21 + 2y)) = 0
((231 + 22y) + 3y * (21 + 2y)) = 0
(231 + 22y + (21 * 3y + 2y * 3y)) = 0
(231 + 22y + (63y + 6y2)) = 0

Combine like terms: 22y + 63y = 85y
(231 + 85y + 6y2) = 0

Solving
231 + 85y + 6y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(21 + 2y)(11 + 3y) = 0


Subproblem 1
Set the factor '(21 + 2y)' equal to zero and attempt to solve:

Simplifying
21 + 2y = 0

Solving
21 + 2y = 0

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

Add '-21' to each side of the equation.
21 + -21 + 2y = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 2y = 0 + -21
2y = 0 + -21

Combine like terms: 0 + -21 = -21
2y = -21

Divide each side by '2'.
y = -10.5

Simplifying
y = -10.5

Subproblem 2
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
Solution
y = {-10.5, -3.666666667}

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