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

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


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

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

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

Combine like terms: -5y + 32y = 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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