B=5(5-2x)(x+1)+5(8x-5)(x+1) eching

$$B = 5 ( 5 - 2 x ) ( x + 1 ) + 5 ( 8 x - 5 ) ( x + 1 )$$

B uchun yechish

$$B=30x\left(x+1\right)$$

Yechim qadamlari

5 ga 5-2x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$B=\left(25-10x\right)\left(x+1\right)+5\left(8x-5\right)\left(x+1\right)$$

25-10x ga x+1 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$B=15x+25-10x^{2}+5\left(8x-5\right)\left(x+1\right)$$

5 ga 8x-5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$B=15x+25-10x^{2}+\left(40x-25\right)\left(x+1\right)$$

40x-25 ga x+1 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$B=15x+25-10x^{2}+40x^{2}+15x-25$$

30x^{2} ni olish uchun -10x^{2} va 40x^{2} ni birlashtirish.

$$B=15x+25+30x^{2}+15x-25$$

30x ni olish uchun 15x va 15x ni birlashtirish.

$$B=30x+25+30x^{2}-25$$

0 olish uchun 25 dan 25 ni ayirish.

$$B=30x+30x^{2}$$

x uchun yechish (complex solution)

$$x=-\frac{\sqrt{30B+225}}{30}-\frac{1}{2}$$

$$x=\frac{\sqrt{30B+225}}{30}-\frac{1}{2}$$

x uchun yechish

$$x=-\frac{\sqrt{30B+225}}{30}-\frac{1}{2}$$

$$x=\frac{\sqrt{30B+225}}{30}-\frac{1}{2}\text{, }B\geq -\frac{15}{2}$$