x uchun yechish
x=8
Grafik
Baham ko'rish
Klipbordga nusxa olish
\left(2x-4\right)\times 5=\left(2x-6\right)\times 3+\left(x+2\right)\times 3
x qiymati -2,2,3 qiymatlaridan birortasiga teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 2\left(x-3\right)\left(x-2\right)\left(x+2\right) ga, x^{2}-x-6,x^{2}-4,2x^{2}-10x+12 ning eng kichik karralisiga ko‘paytiring.
10x-20=\left(2x-6\right)\times 3+\left(x+2\right)\times 3
2x-4 ga 5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
10x-20=6x-18+\left(x+2\right)\times 3
2x-6 ga 3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
10x-20=6x-18+3x+6
x+2 ga 3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
10x-20=9x-18+6
9x ni olish uchun 6x va 3x ni birlashtirish.
10x-20=9x-12
-12 olish uchun -18 va 6'ni qo'shing.
10x-20-9x=-12
Ikkala tarafdan 9x ni ayirish.
x-20=-12
x ni olish uchun 10x va -9x ni birlashtirish.
x=-12+20
20 ni ikki tarafga qo’shing.
x=8
8 olish uchun -12 va 20'ni qo'shing.
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}