Whakaoti i te left(6-aright)x-20=-005x^2+10x-40

$$\left( 6-a \right) x-20 = -005 { x }^{ 2 } +10x-40$$

Whakaoti mō a

$$a=-4+\frac{20}{x}$$

$$x\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 6-a ki te x.

$$6x-ax-20=0\times 0\times 5x^{2}+10x-40$$

Whakareatia te 0 ki te 0, ka 0.

$$6x-ax-20=0\times 5x^{2}+10x-40$$

Whakareatia te 0 ki te 5, ka 0.

$$6x-ax-20=0x^{2}+10x-40$$

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

$$6x-ax-20=0+10x-40$$

Tangohia te 40 i te 0, ka -40.

$$6x-ax-20=-40+10x$$

Tangohia te 6x mai i ngā taha e rua.

$$-ax-20=-40+10x-6x$$

Pahekotia te 10x me -6x, ka 4x.

$$-ax-20=-40+4x$$

Me tāpiri te 20 ki ngā taha e rua.

$$-ax=-40+4x+20$$

Tāpirihia te -40 ki te 20, ka -20.

$$-ax=-20+4x$$

He hanga arowhānui tō te whārite.

$$\left(-x\right)a=4x-20$$

Whakawehea ngā taha e rua ki te -x.

$$\frac{\left(-x\right)a}{-x}=\frac{4x-20}{-x}$$

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

$$a=\frac{4x-20}{-x}$$

Whakawehe -20+4x ki te -x.

$$a=-4+\frac{20}{x}$$

Whakaoti mō x

$$x=\frac{20}{a+4}$$

$$a\neq -4$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 6-a ki te x.

$$6x-ax-20=0\times 0\times 5x^{2}+10x-40$$

Whakareatia te 0 ki te 0, ka 0.

$$6x-ax-20=0\times 5x^{2}+10x-40$$

Whakareatia te 0 ki te 5, ka 0.

$$6x-ax-20=0x^{2}+10x-40$$

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

$$6x-ax-20=0+10x-40$$

Tangohia te 40 i te 0, ka -40.

$$6x-ax-20=-40+10x$$

Tangohia te 10x mai i ngā taha e rua.

$$6x-ax-20-10x=-40$$

Pahekotia te 6x me -10x, ka -4x.

$$-4x-ax-20=-40$$

Me tāpiri te 20 ki ngā taha e rua.

$$-4x-ax=-40+20$$

Tāpirihia te -40 ki te 20, ka -20.

$$-4x-ax=-20$$

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

$$\left(-4-a\right)x=-20$$

He hanga arowhānui tō te whārite.

$$\left(-a-4\right)x=-20$$

Whakawehea ngā taha e rua ki te -4-a.

$$\frac{\left(-a-4\right)x}{-a-4}=-\frac{20}{-a-4}$$

Mā te whakawehe ki te -4-a ka wetekia te whakareanga ki te -4-a.

$$x=-\frac{20}{-a-4}$$

Whakawehe -20 ki te -4-a.

$$x=\frac{20}{a+4}$$