Issolvi x/3*3+x/4*4+x/6*xs+(x/4-8)*2=504

$$\frac { x } { 3 } \times 3 + \frac { x } { 4 } \times 4 + \frac { x } { 6 } \cdot x s + ( \frac { x } { 4 } - 8 ) \cdot 2 = 504$$

Solvi għal s

$$s=-\frac{15\left(x-208\right)}{x^{2}}$$

$$x\neq 0$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'12, l-inqas denominatur komuni ta' 3,4,6.

$$4x\times 3+3x\times 4+2xxs+12\left(\frac{x}{4}-8\right)\times 2=6048$$

Immultiplika x u x biex tikseb x^{2}.

$$4x\times 3+3x\times 4+2x^{2}s+12\left(\frac{x}{4}-8\right)\times 2=6048$$

Immultiplika 4 u 3 biex tikseb 12.

$$12x+3x\times 4+2x^{2}s+12\left(\frac{x}{4}-8\right)\times 2=6048$$

Immultiplika 3 u 4 biex tikseb 12.

$$12x+12x+2x^{2}s+12\left(\frac{x}{4}-8\right)\times 2=6048$$

Ikkombina 12x u 12x biex tikseb 24x.

$$24x+2x^{2}s+12\left(\frac{x}{4}-8\right)\times 2=6048$$

Immultiplika 12 u 2 biex tikseb 24.

$$24x+2x^{2}s+24\left(\frac{x}{4}-8\right)=6048$$

Uża l-propjetà distributtiva biex timmultiplika 24 b'\frac{x}{4}-8.

$$24x+2x^{2}s+24\times \frac{x}{4}-192=6048$$

Ikkanċella l-akbar fattur komuni 4 f'24 u 4.

$$24x+2x^{2}s+6x-192=6048$$

Ikkombina 24x u 6x biex tikseb 30x.

$$30x+2x^{2}s-192=6048$$

Naqqas 30x miż-żewġ naħat.

$$2x^{2}s-192=6048-30x$$

Żid 192 maż-żewġ naħat.

$$2x^{2}s=6048-30x+192$$

Żid 6048 u 192 biex tikseb 6240.

$$2x^{2}s=6240-30x$$

Iddividi ż-żewġ naħat b'2x^{2}.

$$\frac{2x^{2}s}{2x^{2}}=\frac{6240-30x}{2x^{2}}$$

Meta tiddividi b'2x^{2} titneħħa l-multiplikazzjoni b'2x^{2}.

$$s=\frac{6240-30x}{2x^{2}}$$

Iddividi 6240-30x b'2x^{2}.

$$s=\frac{15\left(208-x\right)}{x^{2}}$$

Solvi għal x (complex solution)

$$\left\{\begin{matrix}x=\frac{\sqrt{15\left(832s+15\right)}-15}{2s}\text{; }x=-\frac{\sqrt{15}\left(\sqrt{832s+15}+\sqrt{15}\right)}{2s}\text{, }&s\neq 0\\x=208\text{, }&s=0\end{matrix}\right.$$

Solvi għal x

$$\left\{\begin{matrix}x=\frac{\sqrt{15\left(832s+15\right)}-15}{2s}\text{; }x=-\frac{\sqrt{15}\left(\sqrt{832s+15}+\sqrt{15}\right)}{2s}\text{, }&s\neq 0\text{ and }s\geq -\frac{15}{832}\\x=208\text{, }&s=0\end{matrix}\right.$$