(8-y)(4y-3)=0

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Solution for (8-y)(4y-3)=0 equation: 


Simplifying
(8 + -1y)(4y + -3) = 0

Reorder the terms:
(8 + -1y)(-3 + 4y) = 0

Multiply (8 + -1y) * (-3 + 4y)
(8(-3 + 4y) + -1y * (-3 + 4y)) = 0
((-3 * 8 + 4y * 8) + -1y * (-3 + 4y)) = 0
((-24 + 32y) + -1y * (-3 + 4y)) = 0
(-24 + 32y + (-3 * -1y + 4y * -1y)) = 0
(-24 + 32y + (3y + -4y2)) = 0

Combine like terms: 32y + 3y = 35y
(-24 + 35y + -4y2) = 0

Solving
-24 + 35y + -4y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-8 + y)(3 + -4y) = 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 '(3 + -4y)' equal to zero and attempt to solve:

Simplifying
3 + -4y = 0

Solving
3 + -4y = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4y = 0 + -3
-4y = 0 + -3

Combine like terms: 0 + -3 = -3
-4y = -3

Divide each side by '-4'.
y = 0.75

Simplifying
y = 0.75
Solution
y = {8, 0.75}

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