(5y+4)(9+y)=0

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Solution for (5y+4)(9+y)=0 equation: 


Simplifying
(5y + 4)(9 + y) = 0

Reorder the terms:
(4 + 5y)(9 + y) = 0

Multiply (4 + 5y) * (9 + y)
(4(9 + y) + 5y * (9 + y)) = 0
((9 * 4 + y * 4) + 5y * (9 + y)) = 0
((36 + 4y) + 5y * (9 + y)) = 0
(36 + 4y + (9 * 5y + y * 5y)) = 0
(36 + 4y + (45y + 5y2)) = 0

Combine like terms: 4y + 45y = 49y
(36 + 49y + 5y2) = 0

Solving
36 + 49y + 5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(9 + y)(4 + 5y) = 0


Subproblem 1
Set the factor '(9 + y)' equal to zero and attempt to solve:

Simplifying
9 + y = 0

Solving
9 + y = 0

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

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

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

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

Simplifying
y = -9

Subproblem 2
Set the factor '(4 + 5y)' equal to zero and attempt to solve:

Simplifying
4 + 5y = 0

Solving
4 + 5y = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5y = 0 + -4
5y = 0 + -4

Combine like terms: 0 + -4 = -4
5y = -4

Divide each side by '5'.
y = -0.8

Simplifying
y = -0.8
Solution
y = {-9, -0.8}

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