x uchun yechish
x = -\frac{32}{3} = -10\frac{2}{3} \approx -10,666666667
Grafik
Baham ko'rish
Klipbordga nusxa olish
3\left(2x-5x-2\right)+1=3x-9\left(x-3\right)
5x+2 teskarisini topish uchun har birining teskarisini toping.
3\left(-3x-2\right)+1=3x-9\left(x-3\right)
-3x ni olish uchun 2x va -5x ni birlashtirish.
-9x-6+1=3x-9\left(x-3\right)
3 ga -3x-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
-9x-5=3x-9\left(x-3\right)
-5 olish uchun -6 va 1'ni qo'shing.
-9x-5=3x-9x+27
-9 ga x-3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
-9x-5=-6x+27
-6x ni olish uchun 3x va -9x ni birlashtirish.
-9x-5+6x=27
6x ni ikki tarafga qo’shing.
-3x-5=27
-3x ni olish uchun -9x va 6x ni birlashtirish.
-3x=27+5
5 ni ikki tarafga qo’shing.
-3x=32
32 olish uchun 27 va 5'ni qo'shing.
x=\frac{32}{-3}
Ikki tarafini -3 ga bo‘ling.
x=-\frac{32}{3}
\frac{32}{-3} kasri manfiy belgini olib tashlash bilan -\frac{32}{3} sifatida qayta yozilishi mumkin.
Misollar
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Chiziqli tenglama
y = 3x + 4
Arifmetik
699 * 533
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}