(5-y)(3y+8)=0

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Solution for (5-y)(3y+8)=0 equation: 


Simplifying
(5 + -1y)(3y + 8) = 0

Reorder the terms:
(5 + -1y)(8 + 3y) = 0

Multiply (5 + -1y) * (8 + 3y)
(5(8 + 3y) + -1y * (8 + 3y)) = 0
((8 * 5 + 3y * 5) + -1y * (8 + 3y)) = 0
((40 + 15y) + -1y * (8 + 3y)) = 0
(40 + 15y + (8 * -1y + 3y * -1y)) = 0
(40 + 15y + (-8y + -3y2)) = 0

Combine like terms: 15y + -8y = 7y
(40 + 7y + -3y2) = 0

Solving
40 + 7y + -3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(5 + -1y)(8 + 3y) = 0


Subproblem 1
Set the factor '(5 + -1y)' equal to zero and attempt to solve:

Simplifying
5 + -1y = 0

Solving
5 + -1y = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1y = 0 + -5

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

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

Divide each side by '-1'.
y = 5

Simplifying
y = 5

Subproblem 2
Set the factor '(8 + 3y)' equal to zero and attempt to solve:

Simplifying
8 + 3y = 0

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

Combine like terms: 8 + -8 = 0
0 + 3y = 0 + -8
3y = 0 + -8

Combine like terms: 0 + -8 = -8
3y = -8

Divide each side by '3'.
y = -2.666666667

Simplifying
y = -2.666666667
Solution
y = {5, -2.666666667}

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