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

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


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

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

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

Combine like terms: 40y + -1y = 39y
(-8 + 39y + 5y2) = 0

Solving
-8 + 39y + 5y2 = 0

Solving for variable 'y'.

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

Simplifying
1 + -5y = 0

Solving
1 + -5y = 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 + -5y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5y = 0 + -1
-5y = 0 + -1

Combine like terms: 0 + -1 = -1
-5y = -1

Divide each side by '-5'.
y = 0.2

Simplifying
y = 0.2
Solution
y = {-8, 0.2}

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