Whakaoti i te 3x=(2x-1)(m+4)

$$3 x = ( 2 x - 1 ) ( m + 4 )$$

Whakaoti mō m

$$m=-\frac{4-5x}{1-2x}$$

$$x\neq \frac{1}{2}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 2x-1 ki te m+4.

$$3x=2xm+8x-m-4$$

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

$$2xm+8x-m-4=3x$$

Tangohia te 8x mai i ngā taha e rua.

$$2xm-m-4=3x-8x$$

Pahekotia te 3x me -8x, ka -5x.

$$2xm-m-4=-5x$$

Me tāpiri te 4 ki ngā taha e rua.

$$2xm-m=-5x+4$$

Pahekotia ngā kīanga tau katoa e whai ana i te m.

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

He hanga arowhānui tō te whārite.

$$\left(2x-1\right)m=4-5x$$

Whakawehea ngā taha e rua ki te 2x-1.

$$\frac{\left(2x-1\right)m}{2x-1}=\frac{4-5x}{2x-1}$$

Mā te whakawehe ki te 2x-1 ka wetekia te whakareanga ki te 2x-1.

$$m=\frac{4-5x}{2x-1}$$

Whakaoti mō x

$$x=\frac{m+4}{2m+5}$$

$$m\neq -\frac{5}{2}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 2x-1 ki te m+4.

$$3x=2xm+8x-m-4$$

Tangohia te 2xm mai i ngā taha e rua.

$$3x-2xm=8x-m-4$$

Tangohia te 8x mai i ngā taha e rua.

$$3x-2xm-8x=-m-4$$

Pahekotia te 3x me -8x, ka -5x.

$$-5x-2xm=-m-4$$

Pahekotia ngā kīanga tau katoa e whai ana i te x.

$$\left(-5-2m\right)x=-m-4$$

He hanga arowhānui tō te whārite.

$$\left(-2m-5\right)x=-m-4$$

Whakawehea ngā taha e rua ki te -5-2m.

$$\frac{\left(-2m-5\right)x}{-2m-5}=\frac{-m-4}{-2m-5}$$

Mā te whakawehe ki te -5-2m ka wetekia te whakareanga ki te -5-2m.

$$x=\frac{-m-4}{-2m-5}$$

Whakawehe -m-4 ki te -5-2m.

$$x=\frac{m+4}{2m+5}$$