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.