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Simplifying
6xy(3xy) + -2 = 0
Remove parenthesis around (3xy)
6xy * 3xy + -2 = 0
Reorder the terms for easier multiplication:
6 * 3xy * xy + -2 = 0
Multiply 6 * 3
18xy * xy + -2 = 0
Multiply xy * xy
18x2y2 + -2 = 0
Reorder the terms:
-2 + 18x2y2 = 0
Solving
-2 + 18x2y2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + 18x2y2 = 0 + 2
Combine like terms: -2 + 2 = 0
0 + 18x2y2 = 0 + 2
18x2y2 = 0 + 2
Combine like terms: 0 + 2 = 2
18x2y2 = 2
Divide each side by '18y2'.
x2 = 0.1111111111y-2
Simplifying
x2 = 0.1111111111y-2
Take the square root of each side:
x = {-0.333333333y-1, 0.333333333y-1}
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