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

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


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

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

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

Multiply (-8 + y) * (-5 + 4y)
(-8(-5 + 4y) + y(-5 + 4y)) = 0
((-5 * -8 + 4y * -8) + y(-5 + 4y)) = 0
((40 + -32y) + y(-5 + 4y)) = 0
(40 + -32y + (-5 * y + 4y * y)) = 0
(40 + -32y + (-5y + 4y2)) = 0

Combine like terms: -32y + -5y = -37y
(40 + -37y + 4y2) = 0

Solving
40 + -37y + 4y2 = 0

Solving for variable 'y'.

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


Subproblem 1
Set the factor '(5 + -4y)' equal to zero and attempt to solve:

Simplifying
5 + -4y = 0

Solving
5 + -4y = 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 + -4y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4y = 0 + -5
-4y = 0 + -5

Combine like terms: 0 + -5 = -5
-4y = -5

Divide each side by '-4'.
y = 1.25

Simplifying
y = 1.25

Subproblem 2
Set the factor '(8 + -1y)' equal to zero and attempt to solve:

Simplifying
8 + -1y = 0

Solving
8 + -1y = 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 + -1y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1y = 0 + -8
-1y = 0 + -8

Combine like terms: 0 + -8 = -8
-1y = -8

Divide each side by '-1'.
y = 8

Simplifying
y = 8
Solution
y = {1.25, 8}

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