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

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


Simplifying
(7 + -1y)(5y + 8) = 0

Reorder the terms:
(7 + -1y)(8 + 5y) = 0

Multiply (7 + -1y) * (8 + 5y)
(7(8 + 5y) + -1y * (8 + 5y)) = 0
((8 * 7 + 5y * 7) + -1y * (8 + 5y)) = 0
((56 + 35y) + -1y * (8 + 5y)) = 0
(56 + 35y + (8 * -1y + 5y * -1y)) = 0
(56 + 35y + (-8y + -5y2)) = 0

Combine like terms: 35y + -8y = 27y
(56 + 27y + -5y2) = 0

Solving
56 + 27y + -5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(7 + -1y)(8 + 5y) = 0


Subproblem 1
Set the factor '(7 + -1y)' equal to zero and attempt to solve:

Simplifying
7 + -1y = 0

Solving
7 + -1y = 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 + -1y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1y = 0 + -7
-1y = 0 + -7

Combine like terms: 0 + -7 = -7
-1y = -7

Divide each side by '-1'.
y = 7

Simplifying
y = 7

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 = {7, -1.6}

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