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

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


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

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

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

Combine like terms: 32y + -5y = 27y
(40 + 27y + -4y2) = 0

Solving
40 + 27y + -4y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(8 + -1y)(5 + 4y) = 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 '(5 + 4y)' equal to zero and attempt to solve:

Simplifying
5 + 4y = 0

Solving
5 + 4y = 0

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

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

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

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

Divide each side by '4'.
y = -1.25

Simplifying
y = -1.25
Solution
y = {8, -1.25}

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