Riješi 03(02x+1)=04(05x-1)

$$03 ( 02 x + 1 ) = 04 ( 05 x - 1 )$$

Izračunaj x (complex solution)

$$x\in \mathrm{C}$$

Koraci rješenja

Pomnožite 0 i 3 da biste dobili 0.

$$0\left(0\times 2x+1\right)=0\times 4\left(0\times 5x-1\right)$$

Pomnožite 0 i 2 da biste dobili 0.

$$0\left(0x+1\right)=0\times 4\left(0\times 5x-1\right)$$

Sve puta nula daje nulu.

$$0\left(0+1\right)=0\times 4\left(0\times 5x-1\right)$$

Dodajte 0 broju 1 da biste dobili 1.

$$0\times 1=0\times 4\left(0\times 5x-1\right)$$

Pomnožite 0 i 1 da biste dobili 0.

$$0=0\times 4\left(0\times 5x-1\right)$$

Pomnožite 0 i 4 da biste dobili 0.

$$0=0\left(0\times 5x-1\right)$$

Pomnožite 0 i 5 da biste dobili 0.

$$0=0\left(0x-1\right)$$

Sve puta nula daje nulu.

$$0=0\left(0-1\right)$$

Oduzmite 1 od 0 da biste dobili -1.

$$0=0\left(-1\right)$$

Pomnožite 0 i -1 da biste dobili 0.

$$0=0$$

Usporedite 0 i 0.

$$\text{true}$$

To vrijedi za svaki x.

$$x\in \mathrm{C}$$

Izračunaj x

$$x\in \mathrm{R}$$

Koraci rješenja

Pomnožite 0 i 3 da biste dobili 0.

$$0\left(0\times 2x+1\right)=0\times 4\left(0\times 5x-1\right)$$

Pomnožite 0 i 2 da biste dobili 0.

$$0\left(0x+1\right)=0\times 4\left(0\times 5x-1\right)$$

Sve puta nula daje nulu.

$$0\left(0+1\right)=0\times 4\left(0\times 5x-1\right)$$

Dodajte 0 broju 1 da biste dobili 1.

$$0\times 1=0\times 4\left(0\times 5x-1\right)$$

Pomnožite 0 i 1 da biste dobili 0.

$$0=0\times 4\left(0\times 5x-1\right)$$

Pomnožite 0 i 4 da biste dobili 0.

$$0=0\left(0\times 5x-1\right)$$

Pomnožite 0 i 5 da biste dobili 0.

$$0=0\left(0x-1\right)$$

Sve puta nula daje nulu.

$$0=0\left(0-1\right)$$

Oduzmite 1 od 0 da biste dobili -1.

$$0=0\left(-1\right)$$

Pomnožite 0 i -1 da biste dobili 0.

$$0=0$$

Usporedite 0 i 0.

$$\text{true}$$

To vrijedi za svaki x.

$$x\in \mathrm{R}$$