Find the smallest root of the equation: (x+5)(x+3)−(x+5)(2x+7)=0.(x+5)(x+3) - (x+5)(2x+7) = 0.(x+5)(x+3)−(x+5)(2x+7)=0. Solution 0=(x+5)(x+3)−(x+5)(2x+7)=(x+5)(x+3−(2x+7))=(x+5)(−x−4)=(x+5)(x+4) \begin{aligned} 0 &=& (x+5)(x+3) - (x+5)(2x+7) \\ &=& (x+5)\left(x+3 - (2x+7)\right) \\ &=& (x+5)(-x-4) \\ &=& (x+5)(x + 4) \end{aligned} 0====(x+5)(x+3)−(x+5)(2x+7)(x+5)(x+3−(2x+7))(x+5)(−x−4)(x+5)(x+4) Either x=−4x = -4x=−4 or x=−5x = -5x=−5. The smallest root is −5-5−5.