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Simplifying
10x2 + -10y2 = 0
Solving
10x2 + -10y2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '10y2' to each side of the equation.
10x2 + -10y2 + 10y2 = 0 + 10y2
Combine like terms: -10y2 + 10y2 = 0
10x2 + 0 = 0 + 10y2
10x2 = 0 + 10y2
Remove the zero:
10x2 = 10y2
Divide each side by '10'.
x2 = y2
Simplifying
x2 = y2
Take the square root of each side:
x = {-1y, y}
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