(5y-2)(8-y)=0

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Solution for (5y-2)(8-y)=0 equation: 


Simplifying
(5y + -2)(8 + -1y) = 0

Reorder the terms:
(-2 + 5y)(8 + -1y) = 0

Multiply (-2 + 5y) * (8 + -1y)
(-2(8 + -1y) + 5y * (8 + -1y)) = 0
((8 * -2 + -1y * -2) + 5y * (8 + -1y)) = 0
((-16 + 2y) + 5y * (8 + -1y)) = 0
(-16 + 2y + (8 * 5y + -1y * 5y)) = 0
(-16 + 2y + (40y + -5y2)) = 0

Combine like terms: 2y + 40y = 42y
(-16 + 42y + -5y2) = 0

Solving
-16 + 42y + -5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-8 + y)(2 + -5y) = 0


Subproblem 1
Set the factor '(-8 + y)' equal to zero and attempt to solve:

Simplifying
-8 + y = 0

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

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

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

Simplifying
y = 8

Subproblem 2
Set the factor '(2 + -5y)' equal to zero and attempt to solve:

Simplifying
2 + -5y = 0

Solving
2 + -5y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5y = 0 + -2
-5y = 0 + -2

Combine like terms: 0 + -2 = -2
-5y = -2

Divide each side by '-5'.
y = 0.4

Simplifying
y = 0.4
Solution
y = {8, 0.4}

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