Issolvi 4(a+3)(2a-1)=2(4a^2+8a-3)

$$4 ( a + 3 ) ( 2 a - 1 ) = 2 ( 4 a ^ { 2 } + 8 a - 3 )$$

Solvi għal a

$$a = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika 4 b'a+3.

$$\left(4a+12\right)\left(2a-1\right)=2\left(4a^{2}+8a-3\right)$$

Uża l-propjetà distributtiva biex timmultiplika 4a+12 b'2a-1 u kkombina termini simili.

$$8a^{2}+20a-12=2\left(4a^{2}+8a-3\right)$$

Uża l-propjetà distributtiva biex timmultiplika 2 b'4a^{2}+8a-3.

$$8a^{2}+20a-12=8a^{2}+16a-6$$

Naqqas 8a^{2} miż-żewġ naħat.

$$8a^{2}+20a-12-8a^{2}=16a-6$$

Ikkombina 8a^{2} u -8a^{2} biex tikseb 0.

$$20a-12=16a-6$$

Naqqas 16a miż-żewġ naħat.

$$20a-12-16a=-6$$

Ikkombina 20a u -16a biex tikseb 4a.

$$4a-12=-6$$

Żid 12 maż-żewġ naħat.

$$4a=-6+12$$

Żid -6 u 12 biex tikseb 6.

$$4a=6$$

Iddividi ż-żewġ naħat b'4.

$$a=\frac{6}{4}$$

Naqqas il-frazzjoni \frac{6}{4} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$a=\frac{3}{2}$$