Issolvi 4x-(2x+3)(3x-5)=49-(6x-1)(x-2)

$$4 x - ( 2 x + 3 ) ( 3 x - 5 ) = 49 - ( 6 x - 1 ) ( x - 2 )$$

Solvi għal x

$$x=-4$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika 2x+3 b'3x-5 u kkombina termini simili.

$$4x-\left(6x^{2}-x-15\right)=49-\left(6x-1\right)\left(x-2\right)$$

Biex issib l-oppost ta' 6x^{2}-x-15, sib l-oppost ta' kull terminu.

$$4x-6x^{2}+x+15=49-\left(6x-1\right)\left(x-2\right)$$

Ikkombina 4x u x biex tikseb 5x.

$$5x-6x^{2}+15=49-\left(6x-1\right)\left(x-2\right)$$

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

$$5x-6x^{2}+15=49-\left(6x^{2}-13x+2\right)$$

Biex issib l-oppost ta' 6x^{2}-13x+2, sib l-oppost ta' kull terminu.

$$5x-6x^{2}+15=49-6x^{2}+13x-2$$

Naqqas 2 minn 49 biex tikseb 47.

$$5x-6x^{2}+15=47-6x^{2}+13x$$

Żid 6x^{2} maż-żewġ naħat.

$$5x-6x^{2}+15+6x^{2}=47+13x$$

Ikkombina -6x^{2} u 6x^{2} biex tikseb 0.

$$5x+15=47+13x$$

Naqqas 13x miż-żewġ naħat.

$$5x+15-13x=47$$

Ikkombina 5x u -13x biex tikseb -8x.

$$-8x+15=47$$

Naqqas 15 miż-żewġ naħat.

$$-8x=47-15$$

Naqqas 15 minn 47 biex tikseb 32.

$$-8x=32$$

Iddividi ż-żewġ naħat b'-8.

$$x=\frac{32}{-8}$$

Iddividi 32 b'-8 biex tikseb-4.

$$x=-4$$