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