Issolvi 1-4x/2x+2+2=3/4x+5

$$\frac{ 1-4x }{ 2x+2 } +2= \frac{ 3 }{ 4x+5 }$$

Solvi għal x

$$x = -\frac{19}{14} = -1\frac{5}{14} \approx -1.357142857$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Il-varjabbli x ma jistax ikun ugwali għal kwalunkwe mill-valuri -\frac{5}{4},-1 billi d-diviżjoni b'żero mhix definita. Immultiplika ż-żewġ naħat tal-ekwazzjoni b'2\left(x+1\right)\left(4x+5\right), l-inqas denominatur komuni ta' 2x+2,4x+5.

$$\left(4x+5\right)\left(1-4x\right)+2\left(x+1\right)\left(4x+5\right)\times 2=\left(2x+2\right)\times 3$$

Uża l-propjetà distributtiva biex timmultiplika 4x+5 b'1-4x u kkombina termini simili.

$$-16x-16x^{2}+5+2\left(x+1\right)\left(4x+5\right)\times 2=\left(2x+2\right)\times 3$$

Immultiplika 2 u 2 biex tikseb 4.

$$-16x-16x^{2}+5+4\left(x+1\right)\left(4x+5\right)=\left(2x+2\right)\times 3$$

Uża l-propjetà distributtiva biex timmultiplika 4 b'x+1.

$$-16x-16x^{2}+5+\left(4x+4\right)\left(4x+5\right)=\left(2x+2\right)\times 3$$

Uża l-propjetà distributtiva biex timmultiplika 4x+4 b'4x+5 u kkombina termini simili.

$$-16x-16x^{2}+5+16x^{2}+36x+20=\left(2x+2\right)\times 3$$

Ikkombina -16x^{2} u 16x^{2} biex tikseb 0.

$$-16x+5+36x+20=\left(2x+2\right)\times 3$$

Ikkombina -16x u 36x biex tikseb 20x.

$$20x+5+20=\left(2x+2\right)\times 3$$

Żid 5 u 20 biex tikseb 25.

$$20x+25=\left(2x+2\right)\times 3$$

Uża l-propjetà distributtiva biex timmultiplika 2x+2 b'3.

$$20x+25=6x+6$$

Naqqas 6x miż-żewġ naħat.

$$20x+25-6x=6$$

Ikkombina 20x u -6x biex tikseb 14x.

$$14x+25=6$$

Naqqas 25 miż-żewġ naħat.

$$14x=6-25$$

Naqqas 25 minn 6 biex tikseb -19.

$$14x=-19$$

Iddividi ż-żewġ naħat b'14.

$$x=\frac{-19}{14}$$

Frazzjoni \frac{-19}{14} tista' tinkiteb mill-ġdid bħala -\frac{19}{14} bl-estrazzjoni tas-sinjal negattiv.

$$x=-\frac{19}{14}$$