x uchun yechish
x=\frac{9}{13}\approx 0,692307692
Grafik
Baham ko'rish
Klipbordga nusxa olish
2\left(3-5x\right)=3\left(x-1\right)
Tenglamaning ikkala tarafini 6 ga, 3,2 ning eng kichik karralisiga ko‘paytiring.
6-10x=3\left(x-1\right)
2 ga 3-5x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
6-10x=3x-3
3 ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
6-10x-3x=-3
Ikkala tarafdan 3x ni ayirish.
6-13x=-3
-13x ni olish uchun -10x va -3x ni birlashtirish.
-13x=-3-6
Ikkala tarafdan 6 ni ayirish.
-13x=-9
-9 olish uchun -3 dan 6 ni ayirish.
x=\frac{-9}{-13}
Ikki tarafini -13 ga bo‘ling.
x=\frac{9}{13}
Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-9}{-13} kasrini \frac{9}{13} ga soddalashtirish mumkin.
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}