x uchun yechish
x=-\frac{83}{230}\approx -0,360869565
Grafik
Baham ko'rish
Klipbordga nusxa olish
\left(3x+5\right)\left(4x+7\right)=\left(12x+3\right)\left(x-16\right)
x qiymati -\frac{5}{3},-\frac{1}{4} qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 3\left(3x+5\right)\left(4x+1\right) ga, 12x+3,3x+5 ning eng kichik karralisiga ko‘paytiring.
12x^{2}+41x+35=\left(12x+3\right)\left(x-16\right)
3x+5 ga 4x+7 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.
12x^{2}+41x+35=12x^{2}-189x-48
12x+3 ga x-16 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.
12x^{2}+41x+35-12x^{2}=-189x-48
Ikkala tarafdan 12x^{2} ni ayirish.
41x+35=-189x-48
0 ni olish uchun 12x^{2} va -12x^{2} ni birlashtirish.
41x+35+189x=-48
189x ni ikki tarafga qo’shing.
230x+35=-48
230x ni olish uchun 41x va 189x ni birlashtirish.
230x=-48-35
Ikkala tarafdan 35 ni ayirish.
230x=-83
-83 olish uchun -48 dan 35 ni ayirish.
x=\frac{-83}{230}
Ikki tarafini 230 ga bo‘ling.
x=-\frac{83}{230}
\frac{-83}{230} kasri manfiy belgini olib tashlash bilan -\frac{83}{230} sifatida qayta yozilishi mumkin.
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