Whakaoti mō x
x=\frac{2}{15}\approx 0.133333333
Graph
Tohaina
Kua tāruatia ki te papatopenga
\left(x+2\right)\left(3x+1\right)=\left(3x-2\right)\left(x-2\right)
Tē taea kia ōrite te tāupe x ki tētahi o ngā uara -2,\frac{2}{3} nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te \left(3x-2\right)\left(x+2\right), arā, te tauraro pātahi he tino iti rawa te kitea o 3x-2,x+2.
3x^{2}+7x+2=\left(3x-2\right)\left(x-2\right)
Whakamahia te āhuatanga tuaritanga hei whakarea te x+2 ki te 3x+1 ka whakakotahi i ngā kupu rite.
3x^{2}+7x+2=3x^{2}-8x+4
Whakamahia te āhuatanga tuaritanga hei whakarea te 3x-2 ki te x-2 ka whakakotahi i ngā kupu rite.
3x^{2}+7x+2-3x^{2}=-8x+4
Tangohia te 3x^{2} mai i ngā taha e rua.
7x+2=-8x+4
Pahekotia te 3x^{2} me -3x^{2}, ka 0.
7x+2+8x=4
Me tāpiri te 8x ki ngā taha e rua.
15x+2=4
Pahekotia te 7x me 8x, ka 15x.
15x=4-2
Tangohia te 2 mai i ngā taha e rua.
15x=2
Tangohia te 2 i te 4, ka 2.
x=\frac{2}{15}
Whakawehea ngā taha e rua ki te 15.
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