Issolvi 0=(x-t)*(e^0.2x-1)

$$0 = ( x - t ) \cdot ( e ^ { 0.2 x } - 1 )$$

Solvi għal t (complex solution)

$$\left\{\begin{matrix}\\t=x\text{, }&\text{unconditionally}\\t\in \mathrm{C}\text{, }&\exists n_{1}\in \mathrm{Z}\text{ : }x=10\pi n_{1}i\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika x-t b'e^{0.2x}-1.

$$0=xe^{0.2x}-x-te^{0.2x}+t$$

Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

$$xe^{0.2x}-x-te^{0.2x}+t=0$$

Naqqas xe^{0.2x} miż-żewġ naħat. Xi ħaġa mnaqqsa minn żero tagħti numru negattiv.

$$-x-te^{0.2x}+t=-xe^{0.2x}$$

Żid x maż-żewġ naħat.

$$-te^{0.2x}+t=-xe^{0.2x}+x$$

Ikkombina t-termini kollha li fihom t.

$$\left(-e^{0.2x}+1\right)t=-xe^{0.2x}+x$$

L-ekwazzjoni hija f'forma standard.

$$\left(1-e^{\frac{x}{5}}\right)t=x-xe^{\frac{x}{5}}$$

Iddividi ż-żewġ naħat b'-e^{0.2x}+1.

$$\frac{\left(1-e^{\frac{x}{5}}\right)t}{1-e^{\frac{x}{5}}}=\frac{x-xe^{\frac{x}{5}}}{1-e^{\frac{x}{5}}}$$

Meta tiddividi b'-e^{0.2x}+1 titneħħa l-multiplikazzjoni b'-e^{0.2x}+1.

$$t=\frac{x-xe^{\frac{x}{5}}}{1-e^{\frac{x}{5}}}$$

Iddividi -xe^{\frac{x}{5}}+x b'-e^{0.2x}+1.

$$t=x$$

Solvi għal t

$$\left\{\begin{matrix}\\t=x\text{, }&\text{unconditionally}\\t\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika x-t b'e^{0.2x}-1.

$$0=xe^{0.2x}-x-te^{0.2x}+t$$

Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

$$xe^{0.2x}-x-te^{0.2x}+t=0$$

Naqqas xe^{0.2x} miż-żewġ naħat. Xi ħaġa mnaqqsa minn żero tagħti numru negattiv.

$$-x-te^{0.2x}+t=-xe^{0.2x}$$

Żid x maż-żewġ naħat.

$$-te^{0.2x}+t=-xe^{0.2x}+x$$

Ikkombina t-termini kollha li fihom t.

$$\left(-e^{0.2x}+1\right)t=-xe^{0.2x}+x$$

L-ekwazzjoni hija f'forma standard.

$$\left(1-e^{\frac{x}{5}}\right)t=x-xe^{\frac{x}{5}}$$

Iddividi ż-żewġ naħat b'-e^{0.2x}+1.

$$\frac{\left(1-e^{\frac{x}{5}}\right)t}{1-e^{\frac{x}{5}}}=\frac{x-xe^{\frac{x}{5}}}{1-e^{\frac{x}{5}}}$$

Meta tiddividi b'-e^{0.2x}+1 titneħħa l-multiplikazzjoni b'-e^{0.2x}+1.

$$t=\frac{x-xe^{\frac{x}{5}}}{1-e^{\frac{x}{5}}}$$

Iddividi -xe^{\frac{x}{5}}+x b'-e^{0.2x}+1.

$$t=x$$

Solvi għal x (complex solution)

$$x=t$$

$$x=i\times 10\pi n_{1}\text{, }n_{1}\in \mathrm{Z}$$

Solvi għal x

$$x=0$$

$$x=t$$