Issolvi x+1/2*(x-1/2)=2x-1/4(x+2)+15/4

$$\frac { x + 1 } { 2 } \cdot ( x - \frac { 1 } { 2 } ) = \frac { 2 x - 1 } { 4 } ( x + 2 ) + \frac { 15 } { 4 }$$

Solvi għal x

$$x=-7$$

Passi biex Issolvi l-Ekwazzjoni Lineari

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

$$2\left(x+1\right)\left(x-\frac{1}{2}\right)=\left(2x-1\right)\left(x+2\right)+15$$

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

$$\left(2x+2\right)\left(x-\frac{1}{2}\right)=\left(2x-1\right)\left(x+2\right)+15$$

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' 2x+2 b'kull terminu ta' x-\frac{1}{2}.

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

Annulla 2 u 2.

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

Ikkombina -x u 2x biex tikseb x.

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

Annulla 2 u 2.

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

Applika l-propjetà distributtiva billi timmultiplika kull terminu ta' 2x-1 b'kull terminu ta' x+2.

$$2x^{2}+x-1=2x^{2}+4x-x-2+15$$

Ikkombina 4x u -x biex tikseb 3x.

$$2x^{2}+x-1=2x^{2}+3x-2+15$$

Żid -2 u 15 biex tikseb 13.

$$2x^{2}+x-1=2x^{2}+3x+13$$

Naqqas 2x^{2} miż-żewġ naħat.

$$2x^{2}+x-1-2x^{2}=3x+13$$

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

$$x-1=3x+13$$

Naqqas 3x miż-żewġ naħat.

$$x-1-3x=13$$

Ikkombina x u -3x biex tikseb -2x.

$$-2x-1=13$$

Żid 1 maż-żewġ naħat.

$$-2x=13+1$$

Żid 13 u 1 biex tikseb 14.

$$-2x=14$$

Iddividi ż-żewġ naħat b'-2.

$$x=\frac{14}{-2}$$

Iddividi 14 b'-2 biex tikseb-7.

$$x=-7$$