Whakaoti i te 15*500*(150-x)=2*4200left(x-25right)

$$15 \cdot 500 \cdot (150-x) = 2 \cdot 4200 \left( x-25 \right)$$

Whakaoti mō x

$$x = \frac{4450}{53} = 83\frac{51}{53} \approx 83.962264151$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te 15 ki te 500, ka 7500.

$$7500\left(150-x\right)=2\times 4200\left(x-25\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 7500 ki te 150-x.

$$1125000-7500x=2\times 4200\left(x-25\right)$$

Whakareatia te 2 ki te 4200, ka 8400.

$$1125000-7500x=8400\left(x-25\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 8400 ki te x-25.

$$1125000-7500x=8400x-210000$$

Tangohia te 8400x mai i ngā taha e rua.

$$1125000-7500x-8400x=-210000$$

Pahekotia te -7500x me -8400x, ka -15900x.

$$1125000-15900x=-210000$$

Tangohia te 1125000 mai i ngā taha e rua.

$$-15900x=-210000-1125000$$

Tangohia te 1125000 i te -210000, ka -1335000.

$$-15900x=-1335000$$

Whakawehea ngā taha e rua ki te -15900.

$$x=\frac{-1335000}{-15900}$$

Whakahekea te hautanga \frac{-1335000}{-15900} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -300.

$$x=\frac{4450}{53}$$