(5y-7)(8+y)=0

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Solution for (5y-7)(8+y)=0 equation: 


Simplifying
(5y + -7)(8 + y) = 0

Reorder the terms:
(-7 + 5y)(8 + y) = 0

Multiply (-7 + 5y) * (8 + y)
(-7(8 + y) + 5y * (8 + y)) = 0
((8 * -7 + y * -7) + 5y * (8 + y)) = 0
((-56 + -7y) + 5y * (8 + y)) = 0
(-56 + -7y + (8 * 5y + y * 5y)) = 0
(-56 + -7y + (40y + 5y2)) = 0

Combine like terms: -7y + 40y = 33y
(-56 + 33y + 5y2) = 0

Solving
-56 + 33y + 5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-8 + -1y)(7 + -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 '(7 + -5y)' equal to zero and attempt to solve:

Simplifying
7 + -5y = 0

Solving
7 + -5y = 0

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

Add '-7' to each side of the equation.
7 + -7 + -5y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5y = 0 + -7
-5y = 0 + -7

Combine like terms: 0 + -7 = -7
-5y = -7

Divide each side by '-5'.
y = 1.4

Simplifying
y = 1.4
Solution
y = {-8, 1.4}

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