(8-y)(5y+4)=0

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Solution for (8-y)(5y+4)=0 equation: 


Simplifying
(8 + -1y)(5y + 4) = 0

Reorder the terms:
(8 + -1y)(4 + 5y) = 0

Multiply (8 + -1y) * (4 + 5y)
(8(4 + 5y) + -1y * (4 + 5y)) = 0
((4 * 8 + 5y * 8) + -1y * (4 + 5y)) = 0
((32 + 40y) + -1y * (4 + 5y)) = 0
(32 + 40y + (4 * -1y + 5y * -1y)) = 0
(32 + 40y + (-4y + -5y2)) = 0

Combine like terms: 40y + -4y = 36y
(32 + 36y + -5y2) = 0

Solving
32 + 36y + -5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(8 + -1y)(4 + 5y) = 0


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

Simplifying
8 + -1y = 0

Solving
8 + -1y = 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 + -1y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1y = 0 + -8
-1y = 0 + -8

Combine like terms: 0 + -8 = -8
-1y = -8

Divide each side by '-1'.
y = 8

Simplifying
y = 8

Subproblem 2
Set the factor '(4 + 5y)' equal to zero and attempt to solve:

Simplifying
4 + 5y = 0

Solving
4 + 5y = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5y = 0 + -4
5y = 0 + -4

Combine like terms: 0 + -4 = -4
5y = -4

Divide each side by '5'.
y = -0.8

Simplifying
y = -0.8
Solution
y = {8, -0.8}

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