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