m uchun yechish (complex solution)
\left\{\begin{matrix}\\m=\frac{5}{2}=2,5\text{, }&\text{unconditionally}\\m\in \mathrm{C}\text{, }&x=5\end{matrix}\right,
x uchun yechish (complex solution)
\left\{\begin{matrix}\\x=5\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&m=\frac{5}{2}\end{matrix}\right,
m uchun yechish
\left\{\begin{matrix}\\m=\frac{5}{2}=2,5\text{, }&\text{unconditionally}\\m\in \mathrm{R}\text{, }&x=5\end{matrix}\right,
x uchun yechish
\left\{\begin{matrix}\\x=5\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&m=\frac{5}{2}\end{matrix}\right,
Grafik
Baham ko'rish
Klipbordga nusxa olish
2mx-5\left(x-1\right)=10m-20
Tenglamaning ikkala tarafini 10 ga, 5,2 ning eng kichik karralisiga ko‘paytiring.
2mx-5x+5=10m-20
-5 ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
2mx-5x+5-10m=-20
Ikkala tarafdan 10m ni ayirish.
2mx+5-10m=-20+5x
5x ni ikki tarafga qo’shing.
2mx-10m=-20+5x-5
Ikkala tarafdan 5 ni ayirish.
2mx-10m=-25+5x
-25 olish uchun -20 dan 5 ni ayirish.
\left(2x-10\right)m=-25+5x
m'ga ega bo'lgan barcha shartlarni birlashtirish.
\left(2x-10\right)m=5x-25
Tenglama standart shaklda.
\frac{\left(2x-10\right)m}{2x-10}=\frac{5x-25}{2x-10}
Ikki tarafini 2x-10 ga bo‘ling.
m=\frac{5x-25}{2x-10}
2x-10 ga bo'lish 2x-10 ga ko'paytirishni bekor qiladi.
m=\frac{5}{2}
-25+5x ni 2x-10 ga bo'lish.
2mx-5\left(x-1\right)=10m-20
Tenglamaning ikkala tarafini 10 ga, 5,2 ning eng kichik karralisiga ko‘paytiring.
2mx-5x+5=10m-20
-5 ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
2mx-5x=10m-20-5
Ikkala tarafdan 5 ni ayirish.
2mx-5x=10m-25
-25 olish uchun -20 dan 5 ni ayirish.
\left(2m-5\right)x=10m-25
x'ga ega bo'lgan barcha shartlarni birlashtirish.
\frac{\left(2m-5\right)x}{2m-5}=\frac{10m-25}{2m-5}
Ikki tarafini -5+2m ga bo‘ling.
x=\frac{10m-25}{2m-5}
-5+2m ga bo'lish -5+2m ga ko'paytirishni bekor qiladi.
x=5
10m-25 ni -5+2m ga bo'lish.
2mx-5\left(x-1\right)=10m-20
Tenglamaning ikkala tarafini 10 ga, 5,2 ning eng kichik karralisiga ko‘paytiring.
2mx-5x+5=10m-20
-5 ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
2mx-5x+5-10m=-20
Ikkala tarafdan 10m ni ayirish.
2mx+5-10m=-20+5x
5x ni ikki tarafga qo’shing.
2mx-10m=-20+5x-5
Ikkala tarafdan 5 ni ayirish.
2mx-10m=-25+5x
-25 olish uchun -20 dan 5 ni ayirish.
\left(2x-10\right)m=-25+5x
m'ga ega bo'lgan barcha shartlarni birlashtirish.
\left(2x-10\right)m=5x-25
Tenglama standart shaklda.
\frac{\left(2x-10\right)m}{2x-10}=\frac{5x-25}{2x-10}
Ikki tarafini 2x-10 ga bo‘ling.
m=\frac{5x-25}{2x-10}
2x-10 ga bo'lish 2x-10 ga ko'paytirishni bekor qiladi.
m=\frac{5}{2}
-25+5x ni 2x-10 ga bo'lish.
2mx-5\left(x-1\right)=10m-20
Tenglamaning ikkala tarafini 10 ga, 5,2 ning eng kichik karralisiga ko‘paytiring.
2mx-5x+5=10m-20
-5 ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
2mx-5x=10m-20-5
Ikkala tarafdan 5 ni ayirish.
2mx-5x=10m-25
-25 olish uchun -20 dan 5 ni ayirish.
\left(2m-5\right)x=10m-25
x'ga ega bo'lgan barcha shartlarni birlashtirish.
\frac{\left(2m-5\right)x}{2m-5}=\frac{10m-25}{2m-5}
Ikki tarafini -5+2m ga bo‘ling.
x=\frac{10m-25}{2m-5}
-5+2m ga bo'lish -5+2m ga ko'paytirishni bekor qiladi.
x=5
10m-25 ni -5+2m ga bo'lish.
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