(3XY^2+8)(8-3XY^2)=

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Solution for (3XY^2+8)(8-3XY^2)= equation: 


Simplifying
(3XY2 + 8)(8 + -3XY2) = 0

Reorder the terms:
(8 + 3XY2)(8 + -3XY2) = 0

Multiply (8 + 3XY2) * (8 + -3XY2)
(8(8 + -3XY2) + 3XY2 * (8 + -3XY2)) = 0
((8 * 8 + -3XY2 * 8) + 3XY2 * (8 + -3XY2)) = 0
((64 + -24XY2) + 3XY2 * (8 + -3XY2)) = 0
(64 + -24XY2 + (8 * 3XY2 + -3XY2 * 3XY2)) = 0
(64 + -24XY2 + (24XY2 + -9X2Y4)) = 0

Combine like terms: -24XY2 + 24XY2 = 0
(64 + 0 + -9X2Y4) = 0
(64 + -9X2Y4) = 0

Solving
64 + -9X2Y4 = 0

Solving for variable 'X'.

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

Add '-64' to each side of the equation.
64 + -64 + -9X2Y4 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -9X2Y4 = 0 + -64
-9X2Y4 = 0 + -64

Combine like terms: 0 + -64 = -64
-9X2Y4 = -64

Divide each side by '-9Y4'.
X2 = 7.111111111Y-4

Simplifying
X2 = 7.111111111Y-4

Take the square root of each side:
X = {-2.666666667Y-2, 2.666666667Y-2}

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