x uchun yechish (complex solution)
x\in \mathrm{C}
x uchun yechish
x\in \mathrm{R}
Grafik
Baham ko'rish
Klipbordga nusxa olish
7\left(2x-7\right)-2\left(1-4x\right)=22x-51
Tenglamaning ikkala tarafini 14 ga, 2,7,14 ning eng kichik karralisiga ko‘paytiring.
14x-49-2\left(1-4x\right)=22x-51
7 ga 2x-7 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
14x-49-2+8x=22x-51
-2 ga 1-4x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
14x-51+8x=22x-51
-51 olish uchun -49 dan 2 ni ayirish.
22x-51=22x-51
22x ni olish uchun 14x va 8x ni birlashtirish.
22x-51-22x=-51
Ikkala tarafdan 22x ni ayirish.
-51=-51
0 ni olish uchun 22x va -22x ni birlashtirish.
\text{true}
-51 va -51 ni taqqoslang.
x\in \mathrm{C}
Bu har qanday x uchun to‘g‘ri.
7\left(2x-7\right)-2\left(1-4x\right)=22x-51
Tenglamaning ikkala tarafini 14 ga, 2,7,14 ning eng kichik karralisiga ko‘paytiring.
14x-49-2\left(1-4x\right)=22x-51
7 ga 2x-7 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
14x-49-2+8x=22x-51
-2 ga 1-4x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
14x-51+8x=22x-51
-51 olish uchun -49 dan 2 ni ayirish.
22x-51=22x-51
22x ni olish uchun 14x va 8x ni birlashtirish.
22x-51-22x=-51
Ikkala tarafdan 22x ni ayirish.
-51=-51
0 ni olish uchun 22x va -22x ni birlashtirish.
\text{true}
-51 va -51 ni taqqoslang.
x\in \mathrm{R}
Bu har qanday x uchun to‘g‘ri.
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}