x uchun yechish
x = -\frac{14}{5} = -2\frac{4}{5} = -2,8
Grafik
Baham ko'rish
Klipbordga nusxa olish
21x-7-5\left(4x+3\right)=2\left(3x+5\right)-5\left(3x+12\right)
7 ga 3x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
21x-7-20x-15=2\left(3x+5\right)-5\left(3x+12\right)
-5 ga 4x+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
x-7-15=2\left(3x+5\right)-5\left(3x+12\right)
x ni olish uchun 21x va -20x ni birlashtirish.
x-22=2\left(3x+5\right)-5\left(3x+12\right)
-22 olish uchun -7 dan 15 ni ayirish.
x-22=6x+10-5\left(3x+12\right)
2 ga 3x+5 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
x-22=6x+10-15x-60
-5 ga 3x+12 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
x-22=-9x+10-60
-9x ni olish uchun 6x va -15x ni birlashtirish.
x-22=-9x-50
-50 olish uchun 10 dan 60 ni ayirish.
x-22+9x=-50
9x ni ikki tarafga qo’shing.
10x-22=-50
10x ni olish uchun x va 9x ni birlashtirish.
10x=-50+22
22 ni ikki tarafga qo’shing.
10x=-28
-28 olish uchun -50 va 22'ni qo'shing.
x=\frac{-28}{10}
Ikki tarafini 10 ga bo‘ling.
x=-\frac{14}{5}
\frac{-28}{10} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
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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}