(4y+7)(5y+16)=0

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Solution for (4y+7)(5y+16)=0 equation: 


Simplifying
(4y + 7)(5y + 16) = 0

Reorder the terms:
(7 + 4y)(5y + 16) = 0

Reorder the terms:
(7 + 4y)(16 + 5y) = 0

Multiply (7 + 4y) * (16 + 5y)
(7(16 + 5y) + 4y * (16 + 5y)) = 0
((16 * 7 + 5y * 7) + 4y * (16 + 5y)) = 0
((112 + 35y) + 4y * (16 + 5y)) = 0
(112 + 35y + (16 * 4y + 5y * 4y)) = 0
(112 + 35y + (64y + 20y2)) = 0

Combine like terms: 35y + 64y = 99y
(112 + 99y + 20y2) = 0

Solving
112 + 99y + 20y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(16 + 5y)(7 + 4y) = 0


Subproblem 1
Set the factor '(16 + 5y)' equal to zero and attempt to solve:

Simplifying
16 + 5y = 0

Solving
16 + 5y = 0

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

Add '-16' to each side of the equation.
16 + -16 + 5y = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 5y = 0 + -16
5y = 0 + -16

Combine like terms: 0 + -16 = -16
5y = -16

Divide each side by '5'.
y = -3.2

Simplifying
y = -3.2

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 = {-3.2, -1.75}

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