\(6x+12⋮2x+3\)
=>\(6x+9+3⋮2x+3\)
=>\(3⋮2x+3\)
=>\(2x+3\in\left\{1;-1;3;-3\right\}\)
=>\(2x\in\left\{-2;-4;0;-6\right\}\)
=>\(x\in\left\{-1;-2;0;-3\right\}\)
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6x+12⋮2x+3
=>6x+9+3⋮2x+3
=>3⋮2x+3
=>2x+3∈{1;−1;3;−3}
=>2x∈{−2;−4;0;−6}
=>x∈{−1;−2;0;−3}
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