(5y+8)(3y+20)=0

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Solution for (5y+8)(3y+20)=0 equation: 


Simplifying
(5y + 8)(3y + 20) = 0

Reorder the terms:
(8 + 5y)(3y + 20) = 0

Reorder the terms:
(8 + 5y)(20 + 3y) = 0

Multiply (8 + 5y) * (20 + 3y)
(8(20 + 3y) + 5y * (20 + 3y)) = 0
((20 * 8 + 3y * 8) + 5y * (20 + 3y)) = 0
((160 + 24y) + 5y * (20 + 3y)) = 0
(160 + 24y + (20 * 5y + 3y * 5y)) = 0
(160 + 24y + (100y + 15y2)) = 0

Combine like terms: 24y + 100y = 124y
(160 + 124y + 15y2) = 0

Solving
160 + 124y + 15y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(20 + 3y)(8 + 5y) = 0


Subproblem 1
Set the factor '(20 + 3y)' equal to zero and attempt to solve:

Simplifying
20 + 3y = 0

Solving
20 + 3y = 0

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

Add '-20' to each side of the equation.
20 + -20 + 3y = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 3y = 0 + -20
3y = 0 + -20

Combine like terms: 0 + -20 = -20
3y = -20

Divide each side by '3'.
y = -6.666666667

Simplifying
y = -6.666666667

Subproblem 2
Set the factor '(8 + 5y)' equal to zero and attempt to solve:

Simplifying
8 + 5y = 0

Solving
8 + 5y = 0

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

Add '-8' to each side of the equation.
8 + -8 + 5y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5y = 0 + -8
5y = 0 + -8

Combine like terms: 0 + -8 = -8
5y = -8

Divide each side by '5'.
y = -1.6

Simplifying
y = -1.6
Solution
y = {-6.666666667, -1.6}

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