Whakaoti i te -4/2x+05x/2=4x-1/4x

$$- \frac { 4 } { 2 x } + \frac { 05 x } { 2 } = \frac { 4 x - 1 } { 4 x }$$

Whakaoti mō x

$$x = -\frac{7}{4} = -1\frac{3}{4} = -1.75$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe x ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 4x, arā, te tauraro pātahi he tino iti rawa te kitea o 2x,2,4x.

$$-2\times 4+2x\times 0\times 5x=4x-1$$

Whakareatia te -2 ki te 4, ka -8.

$$-8+2x\times 0\times 5x=4x-1$$

Whakareatia te x ki te x, ka x^{2}.

$$-8+2x^{2}\times 0\times 5=4x-1$$

Whakareatia te 2 ki te 0, ka 0.

$$-8+0x^{2}\times 5=4x-1$$

Whakareatia te 0 ki te 5, ka 0.

$$-8+0x^{2}=4x-1$$

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

$$-8+0=4x-1$$

Tāpirihia te -8 ki te 0, ka -8.

$$-8=4x-1$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$4x-1=-8$$

Me tāpiri te 1 ki ngā taha e rua.

$$4x=-8+1$$

Tāpirihia te -8 ki te 1, ka -7.

$$4x=-7$$

Whakawehea ngā taha e rua ki te 4.

$$x=\frac{-7}{4}$$

Ka taea te hautanga \frac{-7}{4} te tuhi anō ko -\frac{7}{4} mā te tango i te tohu tōraro.

$$x=-\frac{7}{4}$$