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

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


Simplifying
-1(4y + -5)(5y + -8) = 0

Reorder the terms:
-1(-5 + 4y)(5y + -8) = 0

Reorder the terms:
-1(-5 + 4y)(-8 + 5y) = 0

Multiply (-5 + 4y) * (-8 + 5y)
-1(-5(-8 + 5y) + 4y * (-8 + 5y)) = 0
-1((-8 * -5 + 5y * -5) + 4y * (-8 + 5y)) = 0
-1((40 + -25y) + 4y * (-8 + 5y)) = 0
-1(40 + -25y + (-8 * 4y + 5y * 4y)) = 0
-1(40 + -25y + (-32y + 20y2)) = 0

Combine like terms: -25y + -32y = -57y
-1(40 + -57y + 20y2) = 0
(40 * -1 + -57y * -1 + 20y2 * -1) = 0
(-40 + 57y + -20y2) = 0

Solving
-40 + 57y + -20y2 = 0

Solving for variable 'y'.

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


Subproblem 1
Set the factor '(-8 + 5y)' equal to zero and attempt to solve:

Simplifying
-8 + 5y = 0

Solving
-8 + 5y = 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 + 5y = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 5y = 0 + 8
5y = 0 + 8

Combine like terms: 0 + 8 = 8
5y = 8

Divide each side by '5'.
y = 1.6

Simplifying
y = 1.6

Subproblem 2
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
Solution
y = {1.6, 1.25}

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