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

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


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

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

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

Multiply (4 + y) * (-8 + 5y)
(4(-8 + 5y) + y(-8 + 5y)) = 0
((-8 * 4 + 5y * 4) + y(-8 + 5y)) = 0
((-32 + 20y) + y(-8 + 5y)) = 0
(-32 + 20y + (-8 * y + 5y * y)) = 0
(-32 + 20y + (-8y + 5y2)) = 0

Combine like terms: 20y + -8y = 12y
(-32 + 12y + 5y2) = 0

Solving
-32 + 12y + 5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-4 + -1y)(8 + -5y) = 0


Subproblem 1
Set the factor '(-4 + -1y)' equal to zero and attempt to solve:

Simplifying
-4 + -1y = 0

Solving
-4 + -1y = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1y = 0 + 4
-1y = 0 + 4

Combine like terms: 0 + 4 = 4
-1y = 4

Divide each side by '-1'.
y = -4

Simplifying
y = -4

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 = {-4, 1.6}

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