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Simplifying
(3xy + -12)(3xy + 12) = 0
Reorder the terms:
(-12 + 3xy)(3xy + 12) = 0
Reorder the terms:
(-12 + 3xy)(12 + 3xy) = 0
Multiply (-12 + 3xy) * (12 + 3xy)
(-12(12 + 3xy) + 3xy * (12 + 3xy)) = 0
((12 * -12 + 3xy * -12) + 3xy * (12 + 3xy)) = 0
((-144 + -36xy) + 3xy * (12 + 3xy)) = 0
(-144 + -36xy + (12 * 3xy + 3xy * 3xy)) = 0
(-144 + -36xy + (36xy + 9x2y2)) = 0
Combine like terms: -36xy + 36xy = 0
(-144 + 0 + 9x2y2) = 0
(-144 + 9x2y2) = 0
Solving
-144 + 9x2y2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '144' to each side of the equation.
-144 + 144 + 9x2y2 = 0 + 144
Combine like terms: -144 + 144 = 0
0 + 9x2y2 = 0 + 144
9x2y2 = 0 + 144
Combine like terms: 0 + 144 = 144
9x2y2 = 144
Divide each side by '9y2'.
x2 = 16y-2
Simplifying
x2 = 16y-2
Take the square root of each side:
x = {-4y-1, 4y-1}
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