Issolvi 1/9[3x-6-5(7x/2-5)]+13(x-5)+1/4=0

$$\frac { 1 } { 9 } [ 3 x - 6 - 5 ( \frac { 7 x } { 2 } - 5 ) ] + 13 ( x - 5 ) + \frac { 1 } { 4 } = 0$$

Solvi għal x

$$x = \frac{11}{2} = 5\frac{1}{2} = 5.5$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'36, l-inqas denominatur komuni ta' 9,2,4.

$$4\left(3x-6-5\left(\frac{7x}{2}-5\right)\right)+468\left(x-5\right)+9=0$$

Uża l-propjetà distributtiva biex timmultiplika 468 b'x-5.

$$4\left(3x-6-5\left(\frac{7x}{2}-5\right)\right)+468x-2340+9=0$$

Żid -2340 u 9 biex tikseb -2331.

$$4\left(3x-6-5\left(\frac{7x}{2}-5\right)\right)+468x-2331=0$$

Żid 2331 maż-żewġ naħat. Xi ħaġa plus żero jirriżulta f'dan in-numru stess.

$$4\left(3x-6-5\left(\frac{7x}{2}-5\right)\right)+468x=2331$$

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'2.

$$8\left(3x-6-5\left(\frac{7x}{2}-5\right)\right)+936x=4662$$

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'2.

$$16\left(3x-6-5\left(\frac{7x}{2}-5\right)\right)+1872x=9324$$

Uża l-propjetà distributtiva biex timmultiplika -5 b'\frac{7x}{2}-5.

$$16\left(3x-6-5\times \frac{7x}{2}+25\right)+1872x=9324$$

Esprimi -5\times \frac{7x}{2} bħala frazzjoni waħda.

$$16\left(3x-6+\frac{-5\times 7x}{2}+25\right)+1872x=9324$$

Immultiplika -5 u 7 biex tikseb -35.

$$16\left(3x-6+\frac{-35x}{2}+25\right)+1872x=9324$$

Żid -6 u 25 biex tikseb 19.

$$16\left(3x+19+\frac{-35x}{2}\right)+1872x=9324$$

Uża l-propjetà distributtiva biex timmultiplika 16 b'3x+19+\frac{-35x}{2}.

$$48x+304+16\times \frac{-35x}{2}+1872x=9324$$

Ikkanċella l-akbar fattur komuni 2 f'16 u 2.

$$48x+304+8\left(-35\right)x+1872x=9324$$

Immultiplika 8 u -35 biex tikseb -280.

$$48x+304-280x+1872x=9324$$

Ikkombina 48x u -280x biex tikseb -232x.

$$-232x+304+1872x=9324$$

Ikkombina -232x u 1872x biex tikseb 1640x.

$$1640x+304=9324$$

Naqqas 304 miż-żewġ naħat.

$$1640x=9324-304$$

Naqqas 304 minn 9324 biex tikseb 9020.

$$1640x=9020$$

Iddividi ż-żewġ naħat b'1640.

$$x=\frac{9020}{1640}$$

Naqqas il-frazzjoni \frac{9020}{1640} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 820.

$$x=\frac{11}{2}$$