(9y+22)(5y+24)=0

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Solution for (9y+22)(5y+24)=0 equation: 


Simplifying
(9y + 22)(5y + 24) = 0

Reorder the terms:
(22 + 9y)(5y + 24) = 0

Reorder the terms:
(22 + 9y)(24 + 5y) = 0

Multiply (22 + 9y) * (24 + 5y)
(22(24 + 5y) + 9y * (24 + 5y)) = 0
((24 * 22 + 5y * 22) + 9y * (24 + 5y)) = 0
((528 + 110y) + 9y * (24 + 5y)) = 0
(528 + 110y + (24 * 9y + 5y * 9y)) = 0
(528 + 110y + (216y + 45y2)) = 0

Combine like terms: 110y + 216y = 326y
(528 + 326y + 45y2) = 0

Solving
528 + 326y + 45y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(24 + 5y)(22 + 9y) = 0


Subproblem 1
Set the factor '(24 + 5y)' equal to zero and attempt to solve:

Simplifying
24 + 5y = 0

Solving
24 + 5y = 0

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

Add '-24' to each side of the equation.
24 + -24 + 5y = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 5y = 0 + -24
5y = 0 + -24

Combine like terms: 0 + -24 = -24
5y = -24

Divide each side by '5'.
y = -4.8

Simplifying
y = -4.8

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 = {-4.8, -2.444444444}

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