Atrisiniet ABCD-ABC=DCDC

$$A B C D - A B C = D C D C$$

Atrast A (complex solution)

$$\left\{\begin{matrix}A=\frac{CD^{2}}{B\left(D-1\right)}\text{, }&D\neq 1\text{ and }B\neq 0\\A\in \mathrm{C}\text{, }&\left(B=0\text{ and }D=0\right)\text{ or }C=0\end{matrix}\right,$$

Lineāra vienādojuma risināšanas darbības

Reiziniet D un D, lai iegūtu D^{2}.

$$ABCD-ABC=D^{2}CC$$

Reiziniet C un C, lai iegūtu C^{2}.

$$ABCD-ABC=D^{2}C^{2}$$

Pārkārtojiet locekļus.

$$ABCD-ABC=C^{2}D^{2}$$

Savelciet visus locekļus, kuros ir A.

$$\left(BCD-BC\right)A=C^{2}D^{2}$$

Daliet abas puses ar BCD-BC.

$$\frac{\left(BCD-BC\right)A}{BCD-BC}=\frac{C^{2}D^{2}}{BCD-BC}$$

Dalīšana ar BCD-BC atsauc reizināšanu ar BCD-BC.

$$A=\frac{C^{2}D^{2}}{BCD-BC}$$

Daliet C^{2}D^{2} ar BCD-BC.

$$A=\frac{CD^{2}}{B\left(D-1\right)}$$

Atrast B (complex solution)

$$\left\{\begin{matrix}B=\frac{CD^{2}}{A\left(D-1\right)}\text{, }&D\neq 1\text{ and }A\neq 0\\B\in \mathrm{C}\text{, }&\left(A=0\text{ and }D=0\right)\text{ or }C=0\end{matrix}\right,$$

Lineāra vienādojuma risināšanas darbības

Reiziniet D un D, lai iegūtu D^{2}.

$$ABCD-ABC=D^{2}CC$$

Reiziniet C un C, lai iegūtu C^{2}.

$$ABCD-ABC=D^{2}C^{2}$$

Pārkārtojiet locekļus.

$$ABCD-ABC=C^{2}D^{2}$$

Savelciet visus locekļus, kuros ir B.

$$\left(ACD-AC\right)B=C^{2}D^{2}$$

Daliet abas puses ar ACD-AC.

$$\frac{\left(ACD-AC\right)B}{ACD-AC}=\frac{C^{2}D^{2}}{ACD-AC}$$

Dalīšana ar ACD-AC atsauc reizināšanu ar ACD-AC.

$$B=\frac{C^{2}D^{2}}{ACD-AC}$$

Daliet C^{2}D^{2} ar ACD-AC.

$$B=\frac{CD^{2}}{A\left(D-1\right)}$$

Atrast A

$$\left\{\begin{matrix}A=\frac{CD^{2}}{B\left(D-1\right)}\text{, }&D\neq 1\text{ and }B\neq 0\\A\in \mathrm{R}\text{, }&\left(B=0\text{ and }D=0\right)\text{ or }C=0\end{matrix}\right,$$

Lineāra vienādojuma risināšanas darbības

Reiziniet D un D, lai iegūtu D^{2}.

$$ABCD-ABC=D^{2}CC$$

Reiziniet C un C, lai iegūtu C^{2}.

$$ABCD-ABC=D^{2}C^{2}$$

Pārkārtojiet locekļus.

$$ABCD-ABC=C^{2}D^{2}$$

Savelciet visus locekļus, kuros ir A.

$$\left(BCD-BC\right)A=C^{2}D^{2}$$

Daliet abas puses ar BCD-BC.

$$\frac{\left(BCD-BC\right)A}{BCD-BC}=\frac{C^{2}D^{2}}{BCD-BC}$$

Dalīšana ar BCD-BC atsauc reizināšanu ar BCD-BC.

$$A=\frac{C^{2}D^{2}}{BCD-BC}$$

Daliet C^{2}D^{2} ar BCD-BC.

$$A=\frac{CD^{2}}{B\left(D-1\right)}$$

Atrast B

$$\left\{\begin{matrix}B=\frac{CD^{2}}{A\left(D-1\right)}\text{, }&D\neq 1\text{ and }A\neq 0\\B\in \mathrm{R}\text{, }&\left(A=0\text{ and }D=0\right)\text{ or }C=0\end{matrix}\right,$$

Lineāra vienādojuma risināšanas darbības

Reiziniet D un D, lai iegūtu D^{2}.

$$ABCD-ABC=D^{2}CC$$

Reiziniet C un C, lai iegūtu C^{2}.

$$ABCD-ABC=D^{2}C^{2}$$

Pārkārtojiet locekļus.

$$ABCD-ABC=C^{2}D^{2}$$

Savelciet visus locekļus, kuros ir B.

$$\left(ACD-AC\right)B=C^{2}D^{2}$$

Daliet abas puses ar ACD-AC.

$$\frac{\left(ACD-AC\right)B}{ACD-AC}=\frac{C^{2}D^{2}}{ACD-AC}$$

Dalīšana ar ACD-AC atsauc reizināšanu ar ACD-AC.

$$B=\frac{C^{2}D^{2}}{ACD-AC}$$

Daliet C^{2}D^{2} ar ACD-AC.

$$B=\frac{CD^{2}}{A\left(D-1\right)}$$