Whakaoti i te -x^{2}+3x^{3}-(7+4x^2)-6x^3=-3x^3+5x^2-7

$$- x ^ { 2 } + 3 x ^ { 3 } - ( 7 + 4 x ^ { 2 } ) - 6 x ^ { 3 } = - 3 x ^ { 3 } + 5 x ^ { 2 } - 7$$

Whakaoti mō x

$$x=0$$

Ngā Upane mā te Kimi Pūtakerua

Hei kimi i te tauaro o 7+4x^{2}, kimihia te tauaro o ia taurangi.

$$-x^{2}+3x^{3}-7-4x^{2}-6x^{3}=-3x^{3}+5x^{2}-7$$

Pahekotia te 3x^{3} me -6x^{3}, ka -3x^{3}.

$$-x^{2}-3x^{3}-7-4x^{2}=-3x^{3}+5x^{2}-7$$

Me tāpiri te 3x^{3} ki ngā taha e rua.

$$-x^{2}-3x^{3}-7-4x^{2}+3x^{3}=5x^{2}-7$$

Pahekotia te -3x^{3} me 3x^{3}, ka 0.

$$-x^{2}-7-4x^{2}=5x^{2}-7$$

Tangohia te 5x^{2} mai i ngā taha e rua.

$$-x^{2}-7-4x^{2}-5x^{2}=-7$$

Pahekotia te -4x^{2} me -5x^{2}, ka -9x^{2}.

$$-x^{2}-7-9x^{2}=-7$$

Me tāpiri te 7 ki ngā taha e rua.

$$-x^{2}-9x^{2}=-7+7$$

Tāpirihia te -7 ki te 7, ka 0.

$$-x^{2}-9x^{2}=0$$

Pahekotia te -x^{2} me -9x^{2}, ka -10x^{2}.

$$-10x^{2}=0$$

Whakawehea ngā taha e rua ki te -10. Ko te kore i whakawehea ki te tau ehara te kore ka hua ko te kore.

$$x^{2}=0$$

Tuhia te pūtakerua o ngā taha e rua o te whārite.

$$x=0 x=0$$

Kua oti te whārite te whakatau. He ōrite ngā whakatau.

$$x=0$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Hei kimi i te tauaro o 7+4x^{2}, kimihia te tauaro o ia taurangi.

$$-x^{2}+3x^{3}-7-4x^{2}-6x^{3}=-3x^{3}+5x^{2}-7$$

Pahekotia te 3x^{3} me -6x^{3}, ka -3x^{3}.

$$-x^{2}-3x^{3}-7-4x^{2}=-3x^{3}+5x^{2}-7$$

Me tāpiri te 3x^{3} ki ngā taha e rua.

$$-x^{2}-3x^{3}-7-4x^{2}+3x^{3}=5x^{2}-7$$

Pahekotia te -3x^{3} me 3x^{3}, ka 0.

$$-x^{2}-7-4x^{2}=5x^{2}-7$$

Tangohia te 5x^{2} mai i ngā taha e rua.

$$-x^{2}-7-4x^{2}-5x^{2}=-7$$

Pahekotia te -4x^{2} me -5x^{2}, ka -9x^{2}.

$$-x^{2}-7-9x^{2}=-7$$

Me tāpiri te 7 ki ngā taha e rua.

$$-x^{2}-7-9x^{2}+7=0$$

Tāpirihia te -7 ki te 7, ka 0.

$$-x^{2}-9x^{2}=0$$

Pahekotia te -x^{2} me -9x^{2}, ka -10x^{2}.

$$-10x^{2}=0$$

Whakawehea ngā taha e rua ki te -10. Ko te kore i whakawehea ki te tau ehara te kore ka hua ko te kore.

$$x^{2}=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me 0 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}}}{2}$$

Tuhia te pūtakerua o te 0^{2}.

$$x=\frac{0±0}{2}$$

Whakawehe 0 ki te 2.

$$x=0$$