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Problemi Simili mit-Tiftix tal-Web

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x\left(2x+3\right)\left(7x+2\right)+\left(4x^{2}-9\right)\left(5x+4\right)=x\left(34x^{2}+43x-2\right)+\left(2x+3\right)\left(10-x\right)
Ikkunsidra l-ewwel ekwazzjoni. Il-varjabbli x ma jistax ikun ugwali għal kwalunkwe mill-valuri -\frac{3}{2},0,\frac{3}{2} billi d-diviżjoni b'żero mhix definita. Immultiplika ż-żewġ naħat tal-ekwazzjoni b'x\left(2x-3\right)\left(2x+3\right), l-inqas denominatur komuni ta' 2x-3,x,4x^{2}-9,2x^{2}-3x.
\left(2x^{2}+3x\right)\left(7x+2\right)+\left(4x^{2}-9\right)\left(5x+4\right)=x\left(34x^{2}+43x-2\right)+\left(2x+3\right)\left(10-x\right)
Uża l-propjetà distributtiva biex timmultiplika x b'2x+3.
14x^{3}+25x^{2}+6x+\left(4x^{2}-9\right)\left(5x+4\right)=x\left(34x^{2}+43x-2\right)+\left(2x+3\right)\left(10-x\right)
Uża l-propjetà distributtiva biex timmultiplika 2x^{2}+3x b'7x+2 u kkombina termini simili.
14x^{3}+25x^{2}+6x+20x^{3}+16x^{2}-45x-36=x\left(34x^{2}+43x-2\right)+\left(2x+3\right)\left(10-x\right)
Uża l-propjetà distributtiva biex timmultiplika 4x^{2}-9 b'5x+4.
34x^{3}+25x^{2}+6x+16x^{2}-45x-36=x\left(34x^{2}+43x-2\right)+\left(2x+3\right)\left(10-x\right)
Ikkombina 14x^{3} u 20x^{3} biex tikseb 34x^{3}.
34x^{3}+41x^{2}+6x-45x-36=x\left(34x^{2}+43x-2\right)+\left(2x+3\right)\left(10-x\right)
Ikkombina 25x^{2} u 16x^{2} biex tikseb 41x^{2}.
34x^{3}+41x^{2}-39x-36=x\left(34x^{2}+43x-2\right)+\left(2x+3\right)\left(10-x\right)
Ikkombina 6x u -45x biex tikseb -39x.
34x^{3}+41x^{2}-39x-36=34x^{3}+43x^{2}-2x+\left(2x+3\right)\left(10-x\right)
Uża l-propjetà distributtiva biex timmultiplika x b'34x^{2}+43x-2.
34x^{3}+41x^{2}-39x-36=34x^{3}+43x^{2}-2x+17x-2x^{2}+30
Uża l-propjetà distributtiva biex timmultiplika 2x+3 b'10-x u kkombina termini simili.
34x^{3}+41x^{2}-39x-36=34x^{3}+43x^{2}+15x-2x^{2}+30
Ikkombina -2x u 17x biex tikseb 15x.
34x^{3}+41x^{2}-39x-36=34x^{3}+41x^{2}+15x+30
Ikkombina 43x^{2} u -2x^{2} biex tikseb 41x^{2}.
34x^{3}+41x^{2}-39x-36-34x^{3}=41x^{2}+15x+30
Naqqas 34x^{3} miż-żewġ naħat.
41x^{2}-39x-36=41x^{2}+15x+30
Ikkombina 34x^{3} u -34x^{3} biex tikseb 0.
41x^{2}-39x-36-41x^{2}=15x+30
Naqqas 41x^{2} miż-żewġ naħat.
-39x-36=15x+30
Ikkombina 41x^{2} u -41x^{2} biex tikseb 0.
-39x-36-15x=30
Naqqas 15x miż-żewġ naħat.
-54x-36=30
Ikkombina -39x u -15x biex tikseb -54x.
-54x=30+36
Żid 36 maż-żewġ naħat.
-54x=66
Żid 30 u 36 biex tikseb 66.
x=\frac{66}{-54}
Iddividi ż-żewġ naħat b'-54.
x=-\frac{11}{9}
Naqqas il-frazzjoni \frac{66}{-54} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 6.
x=-\frac{11}{9} y=333 z=333 a=333
Is-sistema issa solvuta.