(-ab-5y)(3ab-4y)=

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Solution for (-ab-5y)(3ab-4y)= equation: 


Simplifying
(-1ab + -5y)(3ab + -4y) = 0

Multiply (-1ab + -5y) * (3ab + -4y)
(-1ab * (3ab + -4y) + -5y * (3ab + -4y)) = 0
((3ab * -1ab + -4y * -1ab) + -5y * (3ab + -4y)) = 0

Reorder the terms:
((4aby + -3a2b2) + -5y * (3ab + -4y)) = 0
((4aby + -3a2b2) + -5y * (3ab + -4y)) = 0
(4aby + -3a2b2 + (3ab * -5y + -4y * -5y)) = 0
(4aby + -3a2b2 + (-15aby + 20y2)) = 0

Reorder the terms:
(4aby + -15aby + -3a2b2 + 20y2) = 0

Combine like terms: 4aby + -15aby = -11aby
(-11aby + -3a2b2 + 20y2) = 0

Solving
-11aby + -3a2b2 + 20y2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-1ab + -5y)(3ab + -4y) = 0


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

Simplifying
-1ab + -5y = 0

Solving
-1ab + -5y = 0

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

Add '5y' to each side of the equation.
-1ab + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
-1ab + 0 = 0 + 5y
-1ab = 0 + 5y
Remove the zero:
-1ab = 5y

Divide each side by '-1b'.
a = -5b-1y

Simplifying
a = -5b-1y

Subproblem 2
Set the factor '(3ab + -4y)' equal to zero and attempt to solve:

Simplifying
3ab + -4y = 0

Solving
3ab + -4y = 0

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

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

Combine like terms: -4y + 4y = 0
3ab + 0 = 0 + 4y
3ab = 0 + 4y
Remove the zero:
3ab = 4y

Divide each side by '3b'.
a = 1.333333333b-1y

Simplifying
a = 1.333333333b-1y
Solution
a = {-5b-1y, 1.333333333b-1y}

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