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

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


Simplifying
(8x + -1y)(3x + 3y) = 0

Multiply (8x + -1y) * (3x + 3y)
(8x * (3x + 3y) + -1y * (3x + 3y)) = 0
((3x * 8x + 3y * 8x) + -1y * (3x + 3y)) = 0

Reorder the terms:
((24xy + 24x2) + -1y * (3x + 3y)) = 0
((24xy + 24x2) + -1y * (3x + 3y)) = 0
(24xy + 24x2 + (3x * -1y + 3y * -1y)) = 0
(24xy + 24x2 + (-3xy + -3y2)) = 0

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

Combine like terms: 24xy + -3xy = 21xy
(21xy + 24x2 + -3y2) = 0

Solving
21xy + 24x2 + -3y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(7xy + 8x2 + -1y2) = 0

Factor a trinomial.
3((8x + -1y)(x + y)) = 0

Ignore the factor 3.

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

Simplifying
8x + -1y = 0

Solving
8x + -1y = 0

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

Add 'y' to each side of the equation.
8x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
8x + 0 = 0 + y
8x = 0 + y
Remove the zero:
8x = y

Divide each side by '8'.
x = 0.125y

Simplifying
x = 0.125y

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

Simplifying
x + y = 0

Solving
x + y = 0

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

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

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

Simplifying
x = -1y
Solution
x = {0.125y, -1y}

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