Whakaoti i te x+x*5%+(x*5%)*6%=28200000

$$x+x \times 5 \% +(x \times 5 \% ) \times 6 \% =28200000$$

Whakaoti mō x

$$x = \frac{9400000000}{351} = 26780626\frac{274}{351} \approx 26780626.780626781$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakahekea te hautanga \frac{5}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$x+x\times \frac{1}{20}+x\times \frac{5}{100}\times \frac{6}{100}=28200000$$

Pahekotia te x me x\times \frac{1}{20}, ka \frac{21}{20}x.

$$\frac{21}{20}x+x\times \frac{5}{100}\times \frac{6}{100}=28200000$$

Whakahekea te hautanga \frac{5}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{21}{20}x+x\times \frac{1}{20}\times \frac{6}{100}=28200000$$

Whakahekea te hautanga \frac{6}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{21}{20}x+x\times \frac{1}{20}\times \frac{3}{50}=28200000$$

Me whakarea te \frac{1}{20} ki te \frac{3}{50} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{21}{20}x+x\times \frac{1\times 3}{20\times 50}=28200000$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 3}{20\times 50}.

$$\frac{21}{20}x+x\times \frac{3}{1000}=28200000$$

Pahekotia te \frac{21}{20}x me x\times \frac{3}{1000}, ka \frac{1053}{1000}x.

$$\frac{1053}{1000}x=28200000$$

Me whakarea ngā taha e rua ki te \frac{1000}{1053}, te tau utu o \frac{1053}{1000}.

$$x=28200000\times \frac{1000}{1053}$$

Tuhia te 28200000\times \frac{1000}{1053} hei hautanga kotahi.

$$x=\frac{28200000\times 1000}{1053}$$

Whakareatia te 28200000 ki te 1000, ka 28200000000.

$$x=\frac{28200000000}{1053}$$

Whakahekea te hautanga \frac{28200000000}{1053} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$x=\frac{9400000000}{351}$$