x uchun yechish
x = \frac{5}{4} = 1\frac{1}{4} = 1,25
Grafik
Baham ko'rish
Klipbordga nusxa olish
3\left(4x+3\right)=4\left(4x+1\right)
x qiymati -\frac{1}{4} teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 3\left(4x+1\right) ga, 4x+1,3 ning eng kichik karralisiga ko‘paytiring.
12x+9=4\left(4x+1\right)
3 ga 4x+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
12x+9=16x+4
4 ga 4x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
12x+9-16x=4
Ikkala tarafdan 16x ni ayirish.
-4x+9=4
-4x ni olish uchun 12x va -16x ni birlashtirish.
-4x=4-9
Ikkala tarafdan 9 ni ayirish.
-4x=-5
-5 olish uchun 4 dan 9 ni ayirish.
x=\frac{-5}{-4}
Ikki tarafini -4 ga bo‘ling.
x=\frac{5}{4}
Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-5}{-4} kasrini \frac{5}{4} 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}