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