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

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Solution for (5y+8)(1-y)=0 equation: 


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

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

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

Combine like terms: -8y + 5y = -3y
(8 + -3y + -5y2) = 0

Solving
8 + -3y + -5y2 = 0

Solving for variable 'y'.

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


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

Simplifying
1 + -1y = 0

Solving
1 + -1y = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1y = 0 + -1

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

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

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

Simplifying
y = 1

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 = {1, -1.6}

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