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Simplifying
(11x + -9)(11x + 9) = 0
Reorder the terms:
(-9 + 11x)(11x + 9) = 0
Reorder the terms:
(-9 + 11x)(9 + 11x) = 0
Multiply (-9 + 11x) * (9 + 11x)
(-9(9 + 11x) + 11x * (9 + 11x)) = 0
((9 * -9 + 11x * -9) + 11x * (9 + 11x)) = 0
((-81 + -99x) + 11x * (9 + 11x)) = 0
(-81 + -99x + (9 * 11x + 11x * 11x)) = 0
(-81 + -99x + (99x + 121x2)) = 0
Combine like terms: -99x + 99x = 0
(-81 + 0 + 121x2) = 0
(-81 + 121x2) = 0
Solving
-81 + 121x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '81' to each side of the equation.
-81 + 81 + 121x2 = 0 + 81
Combine like terms: -81 + 81 = 0
0 + 121x2 = 0 + 81
121x2 = 0 + 81
Combine like terms: 0 + 81 = 81
121x2 = 81
Divide each side by '121'.
x2 = 0.6694214876
Simplifying
x2 = 0.6694214876
Take the square root of each side:
x = {-0.818181818, 0.818181818}
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