x uchun yechish
x = -\frac{18}{13} = -1\frac{5}{13} \approx -1,384615385
Grafik
Baham ko'rish
Klipbordga nusxa olish
12-16x-3\left(2-5x\right)=2-4x-2\left(5x+7\right)
4 ga 3-4x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
12-16x-6+15x=2-4x-2\left(5x+7\right)
-3 ga 2-5x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
6-16x+15x=2-4x-2\left(5x+7\right)
6 olish uchun 12 dan 6 ni ayirish.
6-x=2-4x-2\left(5x+7\right)
-x ni olish uchun -16x va 15x ni birlashtirish.
6-x=2-4x-10x-14
-2 ga 5x+7 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
6-x=2-14x-14
-14x ni olish uchun -4x va -10x ni birlashtirish.
6-x=-12-14x
-12 olish uchun 2 dan 14 ni ayirish.
6-x+14x=-12
14x ni ikki tarafga qo’shing.
6+13x=-12
13x ni olish uchun -x va 14x ni birlashtirish.
13x=-12-6
Ikkala tarafdan 6 ni ayirish.
13x=-18
-18 olish uchun -12 dan 6 ni ayirish.
x=\frac{-18}{13}
Ikki tarafini 13 ga bo‘ling.
x=-\frac{18}{13}
\frac{-18}{13} kasri manfiy belgini olib tashlash bilan -\frac{18}{13} sifatida qayta yozilishi mumkin.
Misollar
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Arifmetik
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Matritsa
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simli tenglama
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differensatsiya
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Oʻngga
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Chegaralar
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}