x uchun yechish
x=7
Grafik
Baham ko'rish
Klipbordga nusxa olish
24\left(3x-1\right)-20\left(5x+1\right)=15\left(x+1\right)-360
Tenglamaning ikkala tarafini 120 ga, 5,6,8 ning eng kichik karralisiga ko‘paytiring.
72x-24-20\left(5x+1\right)=15\left(x+1\right)-360
24 ga 3x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
72x-24-100x-20=15\left(x+1\right)-360
-20 ga 5x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
-28x-24-20=15\left(x+1\right)-360
-28x ni olish uchun 72x va -100x ni birlashtirish.
-28x-44=15\left(x+1\right)-360
-44 olish uchun -24 dan 20 ni ayirish.
-28x-44=15x+15-360
15 ga x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
-28x-44=15x-345
-345 olish uchun 15 dan 360 ni ayirish.
-28x-44-15x=-345
Ikkala tarafdan 15x ni ayirish.
-43x-44=-345
-43x ni olish uchun -28x va -15x ni birlashtirish.
-43x=-345+44
44 ni ikki tarafga qo’shing.
-43x=-301
-301 olish uchun -345 va 44'ni qo'shing.
x=\frac{-301}{-43}
Ikki tarafini -43 ga bo‘ling.
x=7
7 ni olish uchun -301 ni -43 ga bo‘ling.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
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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}