Tīpoka ki ngā ihirangi matua
Whakaoti mō x
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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

4+11x+6x^{2}=\left(2-x\right)\left(5-6x\right)
Whakamahia te āhuatanga tuaritanga hei whakarea te 1+2x ki te 4+3x ka whakakotahi i ngā kupu rite.
4+11x+6x^{2}=10-17x+6x^{2}
Whakamahia te āhuatanga tuaritanga hei whakarea te 2-x ki te 5-6x ka whakakotahi i ngā kupu rite.
4+11x+6x^{2}+17x=10+6x^{2}
Me tāpiri te 17x ki ngā taha e rua.
4+28x+6x^{2}=10+6x^{2}
Pahekotia te 11x me 17x, ka 28x.
4+28x+6x^{2}-6x^{2}=10
Tangohia te 6x^{2} mai i ngā taha e rua.
4+28x=10
Pahekotia te 6x^{2} me -6x^{2}, ka 0.
28x=10-4
Tangohia te 4 mai i ngā taha e rua.
28x=6
Tangohia te 4 i te 10, ka 6.
x=\frac{6}{28}
Whakawehea ngā taha e rua ki te 28.
x=\frac{3}{14}
Whakahekea te hautanga \frac{6}{28} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.