(9y+22)(4y+11)=0

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Solution for (9y+22)(4y+11)=0 equation: 


Simplifying
(9y + 22)(4y + 11) = 0

Reorder the terms:
(22 + 9y)(4y + 11) = 0

Reorder the terms:
(22 + 9y)(11 + 4y) = 0

Multiply (22 + 9y) * (11 + 4y)
(22(11 + 4y) + 9y * (11 + 4y)) = 0
((11 * 22 + 4y * 22) + 9y * (11 + 4y)) = 0
((242 + 88y) + 9y * (11 + 4y)) = 0
(242 + 88y + (11 * 9y + 4y * 9y)) = 0
(242 + 88y + (99y + 36y2)) = 0

Combine like terms: 88y + 99y = 187y
(242 + 187y + 36y2) = 0

Solving
242 + 187y + 36y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(11 + 4y)(22 + 9y) = 0


Subproblem 1
Set the factor '(11 + 4y)' equal to zero and attempt to solve:

Simplifying
11 + 4y = 0

Solving
11 + 4y = 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 + 4y = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 4y = 0 + -11
4y = 0 + -11

Combine like terms: 0 + -11 = -11
4y = -11

Divide each side by '4'.
y = -2.75

Simplifying
y = -2.75

Subproblem 2
Set the factor '(22 + 9y)' equal to zero and attempt to solve:

Simplifying
22 + 9y = 0

Solving
22 + 9y = 0

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

Add '-22' to each side of the equation.
22 + -22 + 9y = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 9y = 0 + -22
9y = 0 + -22

Combine like terms: 0 + -22 = -22
9y = -22

Divide each side by '9'.
y = -2.444444444

Simplifying
y = -2.444444444
Solution
y = {-2.75, -2.444444444}

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