(2+y)(5y+8)=0

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Solution for (2+y)(5y+8)=0 equation: 


Simplifying
(2 + y)(5y + 8) = 0

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

Multiply (2 + y) * (8 + 5y)
(2(8 + 5y) + y(8 + 5y)) = 0
((8 * 2 + 5y * 2) + y(8 + 5y)) = 0
((16 + 10y) + y(8 + 5y)) = 0
(16 + 10y + (8 * y + 5y * y)) = 0
(16 + 10y + (8y + 5y2)) = 0

Combine like terms: 10y + 8y = 18y
(16 + 18y + 5y2) = 0

Solving
16 + 18y + 5y2 = 0

Solving for variable 'y'.

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


Subproblem 1
Set the factor '(2 + y)' equal to zero and attempt to solve:

Simplifying
2 + y = 0

Solving
2 + y = 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 + y = 0 + -2

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

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

Simplifying
y = -2

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 = {-2, -1.6}

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