x uchun yechish
x=-\frac{5}{6}\approx -0,833333333
Grafik
Viktorina
Linear Equation
6(x+6)=-3(5x-7)+3x
Baham ko'rish
Klipbordga nusxa olish
6x+36=-3\left(5x-7\right)+3x
6 ga x+6 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
6x+36=-15x+21+3x
-3 ga 5x-7 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
6x+36=-12x+21
-12x ni olish uchun -15x va 3x ni birlashtirish.
6x+36+12x=21
12x ni ikki tarafga qo’shing.
18x+36=21
18x ni olish uchun 6x va 12x ni birlashtirish.
18x=21-36
Ikkala tarafdan 36 ni ayirish.
18x=-15
-15 olish uchun 21 dan 36 ni ayirish.
x=\frac{-15}{18}
Ikki tarafini 18 ga bo‘ling.
x=-\frac{5}{6}
\frac{-15}{18} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometriya
4 \sin \theta \cos \theta = 2 \sin \theta
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}