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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

\frac{4x\left(3-0x\right)+\left(100-4x\right)\left(1+\frac{x}{20}\right)}{100}
Whakareatia te 0 ki te 2, ka 0.
\frac{4x\left(3-0\right)+\left(100-4x\right)\left(1+\frac{x}{20}\right)}{100}
Ko te tau i whakarea ki te kore ka hua ko te kore.
\frac{4x\times 3+\left(100-4x\right)\left(1+\frac{x}{20}\right)}{100}
Tangohia te 0 i te 3, ka 3.
\frac{12x+\left(100-4x\right)\left(1+\frac{x}{20}\right)}{100}
Whakareatia te 4 ki te 3, ka 12.
\frac{12x+\left(100-4x\right)\left(\frac{20}{20}+\frac{x}{20}\right)}{100}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 1 ki te \frac{20}{20}.
\frac{12x+\left(100-4x\right)\times \frac{20+x}{20}}{100}
Tā te mea he rite te tauraro o \frac{20}{20} me \frac{x}{20}, me tāpiri rāua mā te tāpiri i ō raua taurunga.
\frac{12x+\frac{\left(100-4x\right)\left(20+x\right)}{20}}{100}
Tuhia te \left(100-4x\right)\times \frac{20+x}{20} hei hautanga kotahi.
\frac{\frac{20\times 12x}{20}+\frac{\left(100-4x\right)\left(20+x\right)}{20}}{100}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 12x ki te \frac{20}{20}.
\frac{\frac{20\times 12x+\left(100-4x\right)\left(20+x\right)}{20}}{100}
Tā te mea he rite te tauraro o \frac{20\times 12x}{20} me \frac{\left(100-4x\right)\left(20+x\right)}{20}, me tāpiri rāua mā te tāpiri i ō raua taurunga.
\frac{\frac{240x+2000+100x-80x-4x^{2}}{20}}{100}
Mahia ngā whakarea i roto o 20\times 12x+\left(100-4x\right)\left(20+x\right).
\frac{\frac{260x+2000-4x^{2}}{20}}{100}
Whakakotahitia ngā kupu rite i 240x+2000+100x-80x-4x^{2}.
\frac{260x+2000-4x^{2}}{20\times 100}
Tuhia te \frac{\frac{260x+2000-4x^{2}}{20}}{100} hei hautanga kotahi.
\frac{-4\left(x-\left(-\frac{5}{2}\sqrt{249}+\frac{65}{2}\right)\right)\left(x-\left(\frac{5}{2}\sqrt{249}+\frac{65}{2}\right)\right)}{20\times 100}
Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.
\frac{-\left(x-\left(-\frac{5}{2}\sqrt{249}+\frac{65}{2}\right)\right)\left(x-\left(\frac{5}{2}\sqrt{249}+\frac{65}{2}\right)\right)}{5\times 100}
Me whakakore tahi te 4 i te taurunga me te tauraro.
\frac{-x^{2}+65x+500}{500}
Me whakaroha te kīanga.
\frac{4x\left(3-0x\right)+\left(100-4x\right)\left(1+\frac{x}{20}\right)}{100}
Whakareatia te 0 ki te 2, ka 0.
\frac{4x\left(3-0\right)+\left(100-4x\right)\left(1+\frac{x}{20}\right)}{100}
Ko te tau i whakarea ki te kore ka hua ko te kore.
\frac{4x\times 3+\left(100-4x\right)\left(1+\frac{x}{20}\right)}{100}
Tangohia te 0 i te 3, ka 3.
\frac{12x+\left(100-4x\right)\left(1+\frac{x}{20}\right)}{100}
Whakareatia te 4 ki te 3, ka 12.
\frac{12x+\left(100-4x\right)\left(\frac{20}{20}+\frac{x}{20}\right)}{100}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 1 ki te \frac{20}{20}.
\frac{12x+\left(100-4x\right)\times \frac{20+x}{20}}{100}
Tā te mea he rite te tauraro o \frac{20}{20} me \frac{x}{20}, me tāpiri rāua mā te tāpiri i ō raua taurunga.
\frac{12x+\frac{\left(100-4x\right)\left(20+x\right)}{20}}{100}
Tuhia te \left(100-4x\right)\times \frac{20+x}{20} hei hautanga kotahi.
\frac{\frac{20\times 12x}{20}+\frac{\left(100-4x\right)\left(20+x\right)}{20}}{100}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 12x ki te \frac{20}{20}.
\frac{\frac{20\times 12x+\left(100-4x\right)\left(20+x\right)}{20}}{100}
Tā te mea he rite te tauraro o \frac{20\times 12x}{20} me \frac{\left(100-4x\right)\left(20+x\right)}{20}, me tāpiri rāua mā te tāpiri i ō raua taurunga.
\frac{\frac{240x+2000+100x-80x-4x^{2}}{20}}{100}
Mahia ngā whakarea i roto o 20\times 12x+\left(100-4x\right)\left(20+x\right).
\frac{\frac{260x+2000-4x^{2}}{20}}{100}
Whakakotahitia ngā kupu rite i 240x+2000+100x-80x-4x^{2}.
\frac{260x+2000-4x^{2}}{20\times 100}
Tuhia te \frac{\frac{260x+2000-4x^{2}}{20}}{100} hei hautanga kotahi.
\frac{-4\left(x-\left(-\frac{5}{2}\sqrt{249}+\frac{65}{2}\right)\right)\left(x-\left(\frac{5}{2}\sqrt{249}+\frac{65}{2}\right)\right)}{20\times 100}
Me whakatauwehe ngā kīanga kāore anō i whakatauwehea.
\frac{-\left(x-\left(-\frac{5}{2}\sqrt{249}+\frac{65}{2}\right)\right)\left(x-\left(\frac{5}{2}\sqrt{249}+\frac{65}{2}\right)\right)}{5\times 100}
Me whakakore tahi te 4 i te taurunga me te tauraro.
\frac{-x^{2}+65x+500}{500}
Me whakaroha te kīanga.