Issolvi 8-02dt/1+t=175dθ

$$\frac { 8 - 02 d t } { 1 + t } = 175 d \theta$$

Solvi għal d

$$d=\frac{8}{175t\theta +2t+175\theta }$$

$$\left(\theta =-\frac{2}{175}\text{ or }t\neq -\frac{175\theta }{175\theta +2}\right)\text{ and }t\neq -1$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika ż-żewġ naħat tal-ekwazzjoni b't+1.

$$8-2dt=175d\theta \left(t+1\right)$$

Uża l-propjetà distributtiva biex timmultiplika 175d\theta b't+1.

$$8-2dt=175d\theta t+175d\theta$$

Naqqas 175d\theta t miż-żewġ naħat.

$$8-2dt-175d\theta t=175d\theta$$

Naqqas 175d\theta miż-żewġ naħat.

$$8-2dt-175d\theta t-175d\theta =0$$

Naqqas 8 miż-żewġ naħat. Xi ħaġa mnaqqsa minn żero tagħti numru negattiv.

$$-2dt-175d\theta t-175d\theta =-8$$

Ikkombina t-termini kollha li fihom d.

$$\left(-2t-175\theta t-175\theta \right)d=-8$$

L-ekwazzjoni hija f'forma standard.

$$\left(-175t\theta -2t-175\theta \right)d=-8$$

Iddividi ż-żewġ naħat b'-175t\theta -2t-175\theta .

$$\frac{\left(-175t\theta -2t-175\theta \right)d}{-175t\theta -2t-175\theta }=-\frac{8}{-175t\theta -2t-175\theta }$$

Meta tiddividi b'-175t\theta -2t-175\theta titneħħa l-multiplikazzjoni b'-175t\theta -2t-175\theta .

$$d=-\frac{8}{-175t\theta -2t-175\theta }$$

Iddividi -8 b'-175t\theta -2t-175\theta .

$$d=\frac{8}{175t\theta +2t+175\theta }$$

Solvi għal t

$$\left\{\begin{matrix}t=\frac{8-175d\theta }{d\left(175\theta +2\right)}\text{, }&d\neq -4\text{ and }\theta \neq -\frac{2}{175}\text{ and }d\neq 0\\t\neq -1\text{, }&\theta =-\frac{2}{175}\text{ and }d=-4\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Il-varjabbli t ma jistax ikun ugwali għal -1 billi d-diviżjoni b'żero mhux iddefinit. Immultiplika ż-żewġ naħat tal-ekwazzjoni b't+1.

$$8-2dt=175d\theta \left(t+1\right)$$

Uża l-propjetà distributtiva biex timmultiplika 175d\theta b't+1.

$$8-2dt=175d\theta t+175d\theta$$

Naqqas 175d\theta t miż-żewġ naħat.

$$8-2dt-175d\theta t=175d\theta$$

Naqqas 8 miż-żewġ naħat.

$$-2dt-175d\theta t=175d\theta -8$$

Ikkombina t-termini kollha li fihom t.

$$\left(-2d-175d\theta \right)t=175d\theta -8$$

L-ekwazzjoni hija f'forma standard.

$$\left(-175d\theta -2d\right)t=175d\theta -8$$

Iddividi ż-żewġ naħat b'-2d-175\theta d.

$$\frac{\left(-175d\theta -2d\right)t}{-175d\theta -2d}=\frac{175d\theta -8}{-175d\theta -2d}$$

Meta tiddividi b'-2d-175\theta d titneħħa l-multiplikazzjoni b'-2d-175\theta d.

$$t=\frac{175d\theta -8}{-175d\theta -2d}$$

Iddividi 175d\theta -8 b'-2d-175\theta d.

$$t=\frac{175d\theta -8}{-d\left(175\theta +2\right)}$$

Il-varjabbi t ma jistax ikun ugwali għal -1.

$$t=\frac{175d\theta -8}{-d\left(175\theta +2\right)}\text{, }t\neq -1$$