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Simplifying
(-1y + -3x)(-1y + 3x) = 0
Reorder the terms:
(-3x + -1y)(-1y + 3x) = 0
Reorder the terms:
(-3x + -1y)(3x + -1y) = 0
Multiply (-3x + -1y) * (3x + -1y)
(-3x * (3x + -1y) + -1y * (3x + -1y)) = 0
((3x * -3x + -1y * -3x) + -1y * (3x + -1y)) = 0
Reorder the terms:
((3xy + -9x2) + -1y * (3x + -1y)) = 0
((3xy + -9x2) + -1y * (3x + -1y)) = 0
(3xy + -9x2 + (3x * -1y + -1y * -1y)) = 0
(3xy + -9x2 + (-3xy + 1y2)) = 0
Reorder the terms:
(3xy + -3xy + -9x2 + 1y2) = 0
Combine like terms: 3xy + -3xy = 0
(0 + -9x2 + 1y2) = 0
(-9x2 + 1y2) = 0
Solving
-9x2 + 1y2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1y2' to each side of the equation.
-9x2 + 1y2 + -1y2 = 0 + -1y2
Combine like terms: 1y2 + -1y2 = 0
-9x2 + 0 = 0 + -1y2
-9x2 = 0 + -1y2
Remove the zero:
-9x2 = -1y2
Divide each side by '-9'.
x2 = 0.1111111111y2
Simplifying
x2 = 0.1111111111y2
Take the square root of each side:
x = {-0.333333333y, 0.333333333y}
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