Issolvi 10^4*(4x+0.2)=10*(10sqrt{2})^2+400

$$10 ^ { 4 } \cdot ( 4 x + 0.2 ) = 10 \cdot ( 10 \sqrt { 2 } ) ^ { 2 } + 400$$

Solvi għal x

$$x=0.01$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Ikkalkula 10 bil-power ta' 4 u tikseb 10000.

$$10000\left(4x+0.2\right)=10\times \left(10\sqrt{2}\right)^{2}+400$$

Uża l-propjetà distributtiva biex timmultiplika 10000 b'4x+0.2.

$$40000x+2000=10\times \left(10\sqrt{2}\right)^{2}+400$$

Espandi \left(10\sqrt{2}\right)^{2}.

$$40000x+2000=10\times 10^{2}\left(\sqrt{2}\right)^{2}+400$$

Ikkalkula 10 bil-power ta' 2 u tikseb 100.

$$40000x+2000=10\times 100\left(\sqrt{2}\right)^{2}+400$$

Il-kwadrat ta' \sqrt{2} huwa 2.

$$40000x+2000=10\times 100\times 2+400$$

Immultiplika 100 u 2 biex tikseb 200.

$$40000x+2000=10\times 200+400$$

Immultiplika 10 u 200 biex tikseb 2000.

$$40000x+2000=2000+400$$

Żid 2000 u 400 biex tikseb 2400.

$$40000x+2000=2400$$

Naqqas 2000 miż-żewġ naħat.

$$40000x=2400-2000$$

Naqqas 2000 minn 2400 biex tikseb 400.

$$40000x=400$$

Iddividi ż-żewġ naħat b'40000.

$$x=\frac{400}{40000}$$

Naqqas il-frazzjoni \frac{400}{40000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 400.

$$x=\frac{1}{100}$$