x uchun yechish
x=-\frac{2}{7}\approx -0,285714286
Grafik
Baham ko'rish
Klipbordga nusxa olish
\left(15x+2\right)\left(2x+3\right)=\left(5x-1\right)\left(6x+4\right)
x qiymati -\frac{2}{15},\frac{1}{5} qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini \left(5x-1\right)\left(15x+2\right) ga, 5x-1,15x+2 ning eng kichik karralisiga ko‘paytiring.
30x^{2}+49x+6=\left(5x-1\right)\left(6x+4\right)
15x+2 ga 2x+3 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.
30x^{2}+49x+6=30x^{2}+14x-4
5x-1 ga 6x+4 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.
30x^{2}+49x+6-30x^{2}=14x-4
Ikkala tarafdan 30x^{2} ni ayirish.
49x+6=14x-4
0 ni olish uchun 30x^{2} va -30x^{2} ni birlashtirish.
49x+6-14x=-4
Ikkala tarafdan 14x ni ayirish.
35x+6=-4
35x ni olish uchun 49x va -14x ni birlashtirish.
35x=-4-6
Ikkala tarafdan 6 ni ayirish.
35x=-10
-10 olish uchun -4 dan 6 ni ayirish.
x=\frac{-10}{35}
Ikki tarafini 35 ga bo‘ling.
x=-\frac{2}{7}
\frac{-10}{35} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
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