(4y+7)(9+y)=0

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Solution for (4y+7)(9+y)=0 equation: 


Simplifying
(4y + 7)(9 + y) = 0

Reorder the terms:
(7 + 4y)(9 + y) = 0

Multiply (7 + 4y) * (9 + y)
(7(9 + y) + 4y * (9 + y)) = 0
((9 * 7 + y * 7) + 4y * (9 + y)) = 0
((63 + 7y) + 4y * (9 + y)) = 0
(63 + 7y + (9 * 4y + y * 4y)) = 0
(63 + 7y + (36y + 4y2)) = 0

Combine like terms: 7y + 36y = 43y
(63 + 43y + 4y2) = 0

Solving
63 + 43y + 4y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(9 + y)(7 + 4y) = 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 '(7 + 4y)' equal to zero and attempt to solve:

Simplifying
7 + 4y = 0

Solving
7 + 4y = 0

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

Add '-7' to each side of the equation.
7 + -7 + 4y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4y = 0 + -7
4y = 0 + -7

Combine like terms: 0 + -7 = -7
4y = -7

Divide each side by '4'.
y = -1.75

Simplifying
y = -1.75
Solution
y = {-9, -1.75}

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