(-4x+y)(5x-3y)=

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


Simplifying
(-4x + y)(5x + -3y) = 0

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

Reorder the terms:
((12xy + -20x2) + y(5x + -3y)) = 0
((12xy + -20x2) + y(5x + -3y)) = 0
(12xy + -20x2 + (5x * y + -3y * y)) = 0
(12xy + -20x2 + (5xy + -3y2)) = 0

Reorder the terms:
(12xy + 5xy + -20x2 + -3y2) = 0

Combine like terms: 12xy + 5xy = 17xy
(17xy + -20x2 + -3y2) = 0

Solving
17xy + -20x2 + -3y2 = 0

Solving for variable 'x'.

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


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

Simplifying
-4x + y = 0

Solving
-4x + y = 0

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

Add '-1y' to each side of the equation.
-4x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
-4x + 0 = 0 + -1y
-4x = 0 + -1y
Remove the zero:
-4x = -1y

Divide each side by '-4'.
x = 0.25y

Simplifying
x = 0.25y

Subproblem 2
Set the factor '(5x + -3y)' equal to zero and attempt to solve:

Simplifying
5x + -3y = 0

Solving
5x + -3y = 0

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

Add '3y' to each side of the equation.
5x + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
5x + 0 = 0 + 3y
5x = 0 + 3y
Remove the zero:
5x = 3y

Divide each side by '5'.
x = 0.6y

Simplifying
x = 0.6y
Solution
x = {0.25y, 0.6y}

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