(9y+22)(4y+23)=0

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Solution for (9y+22)(4y+23)=0 equation: 


Simplifying
(9y + 22)(4y + 23) = 0

Reorder the terms:
(22 + 9y)(4y + 23) = 0

Reorder the terms:
(22 + 9y)(23 + 4y) = 0

Multiply (22 + 9y) * (23 + 4y)
(22(23 + 4y) + 9y * (23 + 4y)) = 0
((23 * 22 + 4y * 22) + 9y * (23 + 4y)) = 0
((506 + 88y) + 9y * (23 + 4y)) = 0
(506 + 88y + (23 * 9y + 4y * 9y)) = 0
(506 + 88y + (207y + 36y2)) = 0

Combine like terms: 88y + 207y = 295y
(506 + 295y + 36y2) = 0

Solving
506 + 295y + 36y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(23 + 4y)(22 + 9y) = 0


Subproblem 1
Set the factor '(23 + 4y)' equal to zero and attempt to solve:

Simplifying
23 + 4y = 0

Solving
23 + 4y = 0

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

Add '-23' to each side of the equation.
23 + -23 + 4y = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 4y = 0 + -23
4y = 0 + -23

Combine like terms: 0 + -23 = -23
4y = -23

Divide each side by '4'.
y = -5.75

Simplifying
y = -5.75

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 = {-5.75, -2.444444444}

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