(2-y)(3y-8)=0

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Solution for (2-y)(3y-8)=0 equation: 


Simplifying
(2 + -1y)(3y + -8) = 0

Reorder the terms:
(2 + -1y)(-8 + 3y) = 0

Multiply (2 + -1y) * (-8 + 3y)
(2(-8 + 3y) + -1y * (-8 + 3y)) = 0
((-8 * 2 + 3y * 2) + -1y * (-8 + 3y)) = 0
((-16 + 6y) + -1y * (-8 + 3y)) = 0
(-16 + 6y + (-8 * -1y + 3y * -1y)) = 0
(-16 + 6y + (8y + -3y2)) = 0

Combine like terms: 6y + 8y = 14y
(-16 + 14y + -3y2) = 0

Solving
-16 + 14y + -3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-8 + 3y)(2 + -1y) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(2 + -1y)' equal to zero and attempt to solve:

Simplifying
2 + -1y = 0

Solving
2 + -1y = 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 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2
Solution
y = {2.666666667, 2}

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