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Simplifying
(11x + y)(11x + -1y) = 0
Multiply (11x + y) * (11x + -1y)
(11x * (11x + -1y) + y(11x + -1y)) = 0
((11x * 11x + -1y * 11x) + y(11x + -1y)) = 0
Reorder the terms:
((-11xy + 121x2) + y(11x + -1y)) = 0
((-11xy + 121x2) + y(11x + -1y)) = 0
(-11xy + 121x2 + (11x * y + -1y * y)) = 0
(-11xy + 121x2 + (11xy + -1y2)) = 0
Reorder the terms:
(-11xy + 11xy + 121x2 + -1y2) = 0
Combine like terms: -11xy + 11xy = 0
(0 + 121x2 + -1y2) = 0
(121x2 + -1y2) = 0
Solving
121x2 + -1y2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'y2' to each side of the equation.
121x2 + -1y2 + y2 = 0 + y2
Combine like terms: -1y2 + y2 = 0
121x2 + 0 = 0 + y2
121x2 = 0 + y2
Remove the zero:
121x2 = y2
Divide each side by '121'.
x2 = 0.008264462810y2
Simplifying
x2 = 0.008264462810y2
Take the square root of each side:
x = {-0.090909091y, 0.090909091y}
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