Svp aidez moi !!!! Équations de produits nul​

Bonjour !

G = (4x+1)(x-3)-(x-3)(2x+5)

Développer et réduire :

4x²-12x+x-3 - (2x²+5x-6x-15)

4x²-12x+x-3-2x²-5x+6x+15

G = 2x²-10x+12

Factoriser

G = 2x²-10x+12

Delta = 10²- 4×(2×12) = 4

X¹ => 10+2/4 = 12/4 = 3

x² = 10-2/4 = 8/4 = 2

2(x+3)(x+2)

Résoudre G = 0

2(x+3)(x+2) = 0

(x+3) = 0 => x = - 3

(x+2) = 0 => x = -2

S = (-2;-3)

Bon courage