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Question Number 78755 by TawaTawa last updated on 20/Jan/20

$$\mathrm{Solve}\mathrm{the}\mathrm{equation}:$$$$\mathrm{xy}+5\mathrm{x}+5\mathrm{y}=-25...\left(\mathrm{i}\right)$$$$\mathrm{yz}+3\mathrm{y}+5\mathrm{z}=-15...\left(\mathrm{ii}\right)$$$$\mathrm{xz}+5\mathrm{z}+3\mathrm{x}=-15...\left(\mathrm{iii}\right)$$

Commented by Tony Lin last updated on 20/Jan/20

$$xy+5x+5y+25=0$$$$(x+5)(y+5)=0...\left(i\right)$$$$yz+3y+5z+15=0$$$$(y+5)(z+3)=0...\left(ii\right)$$$$xz+5z+3x+15=0$$$$(x+5)(z+3)=0...\left(iii\right)$$$$\Rightarrow \{\begin{array}{l}x=-5\vee y=-5\\ y=-5\vee z=-3\\ x=-5\vee z=-3\end{array}$$$$\Rightarrow (x=-5\wedge y=-5)$$$$\vee (y=-5\wedge z=-3)$$$$\vee (x=-5\wedge z=-3)$$

Commented by TawaTawa last updated on 20/Jan/20

$$\mathrm{God}\mathrm{bless}\mathrm{you}\mathrm{sir}$$

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