(3X-Y)(8X-Y)=

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Solution for (3X-Y)(8X-Y)= equation: 


Simplifying
(3X + -1Y)(8X + -1Y) = 0

Multiply (3X + -1Y) * (8X + -1Y)
(3X * (8X + -1Y) + -1Y * (8X + -1Y)) = 0
((8X * 3X + -1Y * 3X) + -1Y * (8X + -1Y)) = 0

Reorder the terms:
((-3XY + 24X2) + -1Y * (8X + -1Y)) = 0
((-3XY + 24X2) + -1Y * (8X + -1Y)) = 0
(-3XY + 24X2 + (8X * -1Y + -1Y * -1Y)) = 0
(-3XY + 24X2 + (-8XY + 1Y2)) = 0

Reorder the terms:
(-3XY + -8XY + 24X2 + 1Y2) = 0

Combine like terms: -3XY + -8XY = -11XY
(-11XY + 24X2 + 1Y2) = 0

Solving
-11XY + 24X2 + 1Y2 = 0

Solving for variable 'X'.

Factor a trinomial.
(3X + -1Y)(8X + -1Y) = 0


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

Simplifying
3X + -1Y = 0

Solving
3X + -1Y = 0

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

Add 'Y' to each side of the equation.
3X + -1Y + Y = 0 + Y

Combine like terms: -1Y + Y = 0
3X + 0 = 0 + Y
3X = 0 + Y
Remove the zero:
3X = Y

Divide each side by '3'.
X = 0.3333333333Y

Simplifying
X = 0.3333333333Y

Subproblem 2
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
Solution
X = {0.3333333333Y, 0.125Y}

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