x uchun yechish
x=-38
Grafik
Baham ko'rish
Klipbordga nusxa olish
15x-3\left(x-2\right)=5\left(2x-5\right)-45
Tenglamaning ikkala tarafini 15 ga, 5,3 ning eng kichik karralisiga ko‘paytiring.
15x-3x+6=5\left(2x-5\right)-45
-3 ga x-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
12x+6=5\left(2x-5\right)-45
12x ni olish uchun 15x va -3x ni birlashtirish.
12x+6=10x-25-45
5 ga 2x-5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
12x+6=10x-70
-70 olish uchun -25 dan 45 ni ayirish.
12x+6-10x=-70
Ikkala tarafdan 10x ni ayirish.
2x+6=-70
2x ni olish uchun 12x va -10x ni birlashtirish.
2x=-70-6
Ikkala tarafdan 6 ni ayirish.
2x=-76
-76 olish uchun -70 dan 6 ni ayirish.
x=\frac{-76}{2}
Ikki tarafini 2 ga bo‘ling.
x=-38
-38 ni olish uchun -76 ni 2 ga bo‘ling.
Misollar
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Chiziqli tenglama
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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}