Whakaoti i te 03(02x+1)=04(05x-1)

$$03 ( 02 x + 1 ) = 04 ( 05 x - 1 )$$

Whakaoti mō x (complex solution)

$$x\in \mathrm{C}$$

Ngā Upane Otinga

Whakareatia te 0 ki te 3, ka 0.

$$0\left(0\times 2x+1\right)=0\times 4\left(0\times 5x-1\right)$$

Whakareatia te 0 ki te 2, ka 0.

$$0\left(0x+1\right)=0\times 4\left(0\times 5x-1\right)$$

Ko te tau i whakarea ki te kore ka hua ko te kore.

$$0\left(0+1\right)=0\times 4\left(0\times 5x-1\right)$$

Tāpirihia te 0 ki te 1, ka 1.

$$0\times 1=0\times 4\left(0\times 5x-1\right)$$

Whakareatia te 0 ki te 1, ka 0.

$$0=0\times 4\left(0\times 5x-1\right)$$

Whakareatia te 0 ki te 4, ka 0.

$$0=0\left(0\times 5x-1\right)$$

Whakareatia te 0 ki te 5, ka 0.

$$0=0\left(0x-1\right)$$

Ko te tau i whakarea ki te kore ka hua ko te kore.

$$0=0\left(0-1\right)$$

Tangohia te 1 i te 0, ka -1.

$$0=0\left(-1\right)$$

Whakareatia te 0 ki te -1, ka 0.

$$0=0$$

Whakatauritea te 0 me te 0.

$$\text{true}$$

He pono tēnei mō tētahi x ahakoa.

$$x\in \mathrm{C}$$

Whakaoti mō x

$$x\in \mathrm{R}$$

Ngā Upane Otinga

Whakareatia te 0 ki te 3, ka 0.

$$0\left(0\times 2x+1\right)=0\times 4\left(0\times 5x-1\right)$$

Whakareatia te 0 ki te 2, ka 0.

$$0\left(0x+1\right)=0\times 4\left(0\times 5x-1\right)$$

Ko te tau i whakarea ki te kore ka hua ko te kore.

$$0\left(0+1\right)=0\times 4\left(0\times 5x-1\right)$$

Tāpirihia te 0 ki te 1, ka 1.

$$0\times 1=0\times 4\left(0\times 5x-1\right)$$

Whakareatia te 0 ki te 1, ka 0.

$$0=0\times 4\left(0\times 5x-1\right)$$

Whakareatia te 0 ki te 4, ka 0.

$$0=0\left(0\times 5x-1\right)$$

Whakareatia te 0 ki te 5, ka 0.

$$0=0\left(0x-1\right)$$

Ko te tau i whakarea ki te kore ka hua ko te kore.

$$0=0\left(0-1\right)$$

Tangohia te 1 i te 0, ka -1.

$$0=0\left(-1\right)$$

Whakareatia te 0 ki te -1, ka 0.

$$0=0$$

Whakatauritea te 0 me te 0.

$$\text{true}$$

He pono tēnei mō tētahi x ahakoa.

$$x\in \mathrm{R}$$