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Simplifying
(x + 11)(x + -11) = 23
Reorder the terms:
(11 + x)(x + -11) = 23
Reorder the terms:
(11 + x)(-11 + x) = 23
Multiply (11 + x) * (-11 + x)
(11(-11 + x) + x(-11 + x)) = 23
((-11 * 11 + x * 11) + x(-11 + x)) = 23
((-121 + 11x) + x(-11 + x)) = 23
(-121 + 11x + (-11 * x + x * x)) = 23
(-121 + 11x + (-11x + x2)) = 23
Combine like terms: 11x + -11x = 0
(-121 + 0 + x2) = 23
(-121 + x2) = 23
Solving
-121 + x2 = 23
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '121' to each side of the equation.
-121 + 121 + x2 = 23 + 121
Combine like terms: -121 + 121 = 0
0 + x2 = 23 + 121
x2 = 23 + 121
Combine like terms: 23 + 121 = 144
x2 = 144
Simplifying
x2 = 144
Take the square root of each side:
x = {-12, 12}
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