Issolvi 3(2x+1)(2x-1)-4(3x-2)(3x+2)+6x(4x+1)=31

$$3 ( 2 x + 1 ) ( 2 x - 1 ) - 4 ( 3 x - 2 ) ( 3 x + 2 ) + 6 x ( 4 x + 1 ) = 31$$

Solvi għal x

$$x=3$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika 3 b'2x+1.

$$\left(6x+3\right)\left(2x-1\right)-4\left(3x-2\right)\left(3x+2\right)+6x\left(4x+1\right)=31$$

Uża l-propjetà distributtiva biex timmultiplika 6x+3 b'2x-1 u kkombina termini simili.

$$12x^{2}-3-4\left(3x-2\right)\left(3x+2\right)+6x\left(4x+1\right)=31$$

Uża l-propjetà distributtiva biex timmultiplika 6x b'4x+1.

$$12x^{2}-3-4\left(3x-2\right)\left(3x+2\right)+24x^{2}+6x=31$$

Uża l-propjetà distributtiva biex timmultiplika -4 b'3x-2.

$$12x^{2}-3+\left(-12x+8\right)\left(3x+2\right)+24x^{2}+6x=31$$

Uża l-propjetà distributtiva biex timmultiplika -12x+8 b'3x+2 u kkombina termini simili.

$$12x^{2}-3-36x^{2}+16+24x^{2}+6x=31$$

Ikkombina 12x^{2} u -36x^{2} biex tikseb -24x^{2}.

$$-24x^{2}-3+16+24x^{2}+6x=31$$

Żid -3 u 16 biex tikseb 13.

$$-24x^{2}+13+24x^{2}+6x=31$$

Ikkombina -24x^{2} u 24x^{2} biex tikseb 0.

$$13+6x=31$$

Naqqas 13 miż-żewġ naħat.

$$6x=31-13$$

Naqqas 13 minn 31 biex tikseb 18.

$$6x=18$$

Iddividi ż-żewġ naħat b'6.

$$x=\frac{18}{6}$$

Iddividi 18 b'6 biex tikseb3.

$$x=3$$