Whakaoti i te 229.5div1000*(x-298.15)-483.636

$$229.5 \div 1000 \times (x-298.15)-483.636$$

Aromātai

$$\frac{459x}{2000}-552.061425$$

Ngā Upane Otinga

Whakarohaina te \frac{229.5}{1000} mā te whakarea i te taurunga me te tauraro ki te 10.

$$\frac{2295}{10000}\left(x-298.15\right)-483.636$$

Whakahekea te hautanga \frac{2295}{10000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{459}{2000}\left(x-298.15\right)-483.636$$

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{459}{2000} ki te x-298.15.

$$\frac{459}{2000}x+\frac{459}{2000}\left(-298.15\right)-483.636$$

Me tahuri ki tau ā-ira -298.15 ki te hautau -\frac{29815}{100}. Whakahekea te hautanga -\frac{29815}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{459}{2000}x+\frac{459}{2000}\left(-\frac{5963}{20}\right)-483.636$$

Me whakarea te \frac{459}{2000} ki te -\frac{5963}{20} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{459}{2000}x+\frac{459\left(-5963\right)}{2000\times 20}-483.636$$

Mahia ngā whakarea i roto i te hautanga \frac{459\left(-5963\right)}{2000\times 20}.

$$\frac{459}{2000}x+\frac{-2737017}{40000}-483.636$$

Ka taea te hautanga \frac{-2737017}{40000} te tuhi anō ko -\frac{2737017}{40000} mā te tango i te tohu tōraro.

$$\frac{459}{2000}x-\frac{2737017}{40000}-483.636$$

Me tahuri ki tau ā-ira 483.636 ki te hautau \frac{483636}{1000}. Whakahekea te hautanga \frac{483636}{1000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{459}{2000}x-\frac{2737017}{40000}-\frac{120909}{250}$$

Ko te maha noa iti rawa atu o 40000 me 250 ko 40000. Me tahuri -\frac{2737017}{40000} me \frac{120909}{250} ki te hautau me te tautūnga 40000.

$$\frac{459}{2000}x-\frac{2737017}{40000}-\frac{19345440}{40000}$$

Tā te mea he rite te tauraro o -\frac{2737017}{40000} me \frac{19345440}{40000}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{459}{2000}x+\frac{-2737017-19345440}{40000}$$

Tangohia te 19345440 i te -2737017, ka -22082457.

$$\frac{459}{2000}x-\frac{22082457}{40000}$$

Whakaroha

$$\frac{459x}{2000}-552.061425$$

Ngā Upane Otinga

Whakarohaina te \frac{229.5}{1000} mā te whakarea i te taurunga me te tauraro ki te 10.

$$\frac{2295}{10000}\left(x-298.15\right)-483.636$$

Whakahekea te hautanga \frac{2295}{10000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{459}{2000}\left(x-298.15\right)-483.636$$

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{459}{2000} ki te x-298.15.

$$\frac{459}{2000}x+\frac{459}{2000}\left(-298.15\right)-483.636$$

Me tahuri ki tau ā-ira -298.15 ki te hautau -\frac{29815}{100}. Whakahekea te hautanga -\frac{29815}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{459}{2000}x+\frac{459}{2000}\left(-\frac{5963}{20}\right)-483.636$$

Me whakarea te \frac{459}{2000} ki te -\frac{5963}{20} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{459}{2000}x+\frac{459\left(-5963\right)}{2000\times 20}-483.636$$

Mahia ngā whakarea i roto i te hautanga \frac{459\left(-5963\right)}{2000\times 20}.

$$\frac{459}{2000}x+\frac{-2737017}{40000}-483.636$$

Ka taea te hautanga \frac{-2737017}{40000} te tuhi anō ko -\frac{2737017}{40000} mā te tango i te tohu tōraro.

$$\frac{459}{2000}x-\frac{2737017}{40000}-483.636$$

Me tahuri ki tau ā-ira 483.636 ki te hautau \frac{483636}{1000}. Whakahekea te hautanga \frac{483636}{1000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{459}{2000}x-\frac{2737017}{40000}-\frac{120909}{250}$$

Ko te maha noa iti rawa atu o 40000 me 250 ko 40000. Me tahuri -\frac{2737017}{40000} me \frac{120909}{250} ki te hautau me te tautūnga 40000.

$$\frac{459}{2000}x-\frac{2737017}{40000}-\frac{19345440}{40000}$$

Tā te mea he rite te tauraro o -\frac{2737017}{40000} me \frac{19345440}{40000}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{459}{2000}x+\frac{-2737017-19345440}{40000}$$

Tangohia te 19345440 i te -2737017, ka -22082457.

$$\frac{459}{2000}x-\frac{22082457}{40000}$$