x uchun yechish
x = -\frac{9}{4} = -2\frac{1}{4} = -2,25
Grafik
Baham ko'rish
Klipbordga nusxa olish
7x-6-3\left(x+2\right)=12x+6
Tenglamaning ikkala tarafini 3 ga ko'paytirish.
7x-6-3x-6=12x+6
-3 ga x+2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
4x-6-6=12x+6
4x ni olish uchun 7x va -3x ni birlashtirish.
4x-12=12x+6
-12 olish uchun -6 dan 6 ni ayirish.
4x-12-12x=6
Ikkala tarafdan 12x ni ayirish.
-8x-12=6
-8x ni olish uchun 4x va -12x ni birlashtirish.
-8x=6+12
12 ni ikki tarafga qo’shing.
-8x=18
18 olish uchun 6 va 12'ni qo'shing.
x=\frac{18}{-8}
Ikki tarafini -8 ga bo‘ling.
x=-\frac{9}{4}
\frac{18}{-8} ulushini 2 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}