(11x+y)(11x-y)=

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Solution for (11x+y)(11x-y)= equation:


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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