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Simplifying
(n + 3)(n + -3) = 0
Reorder the terms:
(3 + n)(n + -3) = 0
Reorder the terms:
(3 + n)(-3 + n) = 0
Multiply (3 + n) * (-3 + n)
(3(-3 + n) + n(-3 + n)) = 0
((-3 * 3 + n * 3) + n(-3 + n)) = 0
((-9 + 3n) + n(-3 + n)) = 0
(-9 + 3n + (-3 * n + n * n)) = 0
(-9 + 3n + (-3n + n2)) = 0
Combine like terms: 3n + -3n = 0
(-9 + 0 + n2) = 0
(-9 + n2) = 0
Solving
-9 + n2 = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + n2 = 0 + 9
Combine like terms: -9 + 9 = 0
0 + n2 = 0 + 9
n2 = 0 + 9
Combine like terms: 0 + 9 = 9
n2 = 9
Simplifying
n2 = 9
Take the square root of each side:
n = {-3, 3}
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