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Simplifying
(3s + 6)(3s + -6) = 0
Reorder the terms:
(6 + 3s)(3s + -6) = 0
Reorder the terms:
(6 + 3s)(-6 + 3s) = 0
Multiply (6 + 3s) * (-6 + 3s)
(6(-6 + 3s) + 3s * (-6 + 3s)) = 0
((-6 * 6 + 3s * 6) + 3s * (-6 + 3s)) = 0
((-36 + 18s) + 3s * (-6 + 3s)) = 0
(-36 + 18s + (-6 * 3s + 3s * 3s)) = 0
(-36 + 18s + (-18s + 9s2)) = 0
Combine like terms: 18s + -18s = 0
(-36 + 0 + 9s2) = 0
(-36 + 9s2) = 0
Solving
-36 + 9s2 = 0
Solving for variable 's'.
Move all terms containing s to the left, all other terms to the right.
Add '36' to each side of the equation.
-36 + 36 + 9s2 = 0 + 36
Combine like terms: -36 + 36 = 0
0 + 9s2 = 0 + 36
9s2 = 0 + 36
Combine like terms: 0 + 36 = 36
9s2 = 36
Divide each side by '9'.
s2 = 4
Simplifying
s2 = 4
Take the square root of each side:
s = {-2, 2}
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