(x-8y)(-3x+y)=

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Solution for (x-8y)(-3x+y)= equation: 


Simplifying
(x + -8y)(-3x + y) = 0

Multiply (x + -8y) * (-3x + y)
(x(-3x + y) + -8y * (-3x + y)) = 0
((-3x * x + y * x) + -8y * (-3x + y)) = 0

Reorder the terms:
((xy + -3x2) + -8y * (-3x + y)) = 0
((xy + -3x2) + -8y * (-3x + y)) = 0
(xy + -3x2 + (-3x * -8y + y * -8y)) = 0
(xy + -3x2 + (24xy + -8y2)) = 0

Reorder the terms:
(xy + 24xy + -3x2 + -8y2) = 0

Combine like terms: xy + 24xy = 25xy
(25xy + -3x2 + -8y2) = 0

Solving
25xy + -3x2 + -8y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3x + y)(x + -8y) = 0


Subproblem 1
Set the factor '(-3x + y)' equal to zero and attempt to solve:

Simplifying
-3x + y = 0

Solving
-3x + y = 0

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

Add '-1y' to each side of the equation.
-3x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
-3x + 0 = 0 + -1y
-3x = 0 + -1y
Remove the zero:
-3x = -1y

Divide each side by '-3'.
x = 0.3333333333y

Simplifying
x = 0.3333333333y

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

Simplifying
x + -8y = 0

Solving
x + -8y = 0

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

Add '8y' to each side of the equation.
x + -8y + 8y = 0 + 8y

Combine like terms: -8y + 8y = 0
x + 0 = 0 + 8y
x = 0 + 8y
Remove the zero:
x = 8y

Simplifying
x = 8y
Solution
x = {0.3333333333y, 8y}

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