(3y+2)(8+y)=0

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Solution for (3y+2)(8+y)=0 equation: 


Simplifying
(3y + 2)(8 + y) = 0

Reorder the terms:
(2 + 3y)(8 + y) = 0

Multiply (2 + 3y) * (8 + y)
(2(8 + y) + 3y * (8 + y)) = 0
((8 * 2 + y * 2) + 3y * (8 + y)) = 0
((16 + 2y) + 3y * (8 + y)) = 0
(16 + 2y + (8 * 3y + y * 3y)) = 0
(16 + 2y + (24y + 3y2)) = 0

Combine like terms: 2y + 24y = 26y
(16 + 26y + 3y2) = 0

Solving
16 + 26y + 3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(8 + y)(2 + 3y) = 0


Subproblem 1
Set the factor '(8 + y)' equal to zero and attempt to solve:

Simplifying
8 + y = 0

Solving
8 + y = 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 + y = 0 + -8

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

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

Simplifying
y = -8

Subproblem 2
Set the factor '(2 + 3y)' equal to zero and attempt to solve:

Simplifying
2 + 3y = 0

Solving
2 + 3y = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3y = 0 + -2
3y = 0 + -2

Combine like terms: 0 + -2 = -2
3y = -2

Divide each side by '3'.
y = -0.6666666667

Simplifying
y = -0.6666666667
Solution
y = {-8, -0.6666666667}

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