Issolvi x^2+2a^2=(2b+3a)x-2ab

$$x ^ { 2 } + 2 a ^ { 2 } = ( 2 b + 3 a ) x - 2 a b$$

Solvi għal b (complex solution)

$$\left\{\begin{matrix}\\b=\frac{x-2a}{2}\text{, }&\text{unconditionally}\\b\in \mathrm{C}\text{, }&x=a\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

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

$$x^{2}+2a^{2}=2bx+3ax-2ab$$

Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

$$2bx+3ax-2ab=x^{2}+2a^{2}$$

Naqqas 3ax miż-żewġ naħat.

$$2bx-2ab=x^{2}+2a^{2}-3ax$$

Ikkombina t-termini kollha li fihom b.

$$\left(2x-2a\right)b=x^{2}+2a^{2}-3ax$$

L-ekwazzjoni hija f'forma standard.

$$\left(2x-2a\right)b=x^{2}-3ax+2a^{2}$$

Iddividi ż-żewġ naħat b'2x-2a.

$$\frac{\left(2x-2a\right)b}{2x-2a}=\frac{\left(x-a\right)\left(x-2a\right)}{2x-2a}$$

Meta tiddividi b'2x-2a titneħħa l-multiplikazzjoni b'2x-2a.

$$b=\frac{\left(x-a\right)\left(x-2a\right)}{2x-2a}$$

Iddividi \left(x-2a\right)\left(x-a\right) b'2x-2a.

$$b=\frac{x}{2}-a$$

Solvi għal b

$$\left\{\begin{matrix}\\b=\frac{x-2a}{2}\text{, }&\text{unconditionally}\\b\in \mathrm{R}\text{, }&x=a\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

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

$$x^{2}+2a^{2}=2bx+3ax-2ab$$

Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

$$2bx+3ax-2ab=x^{2}+2a^{2}$$

Naqqas 3ax miż-żewġ naħat.

$$2bx-2ab=x^{2}+2a^{2}-3ax$$

Ikkombina t-termini kollha li fihom b.

$$\left(2x-2a\right)b=x^{2}+2a^{2}-3ax$$

L-ekwazzjoni hija f'forma standard.

$$\left(2x-2a\right)b=x^{2}-3ax+2a^{2}$$

Iddividi ż-żewġ naħat b'2x-2a.

$$\frac{\left(2x-2a\right)b}{2x-2a}=\frac{\left(x-a\right)\left(x-2a\right)}{2x-2a}$$

Meta tiddividi b'2x-2a titneħħa l-multiplikazzjoni b'2x-2a.

$$b=\frac{\left(x-a\right)\left(x-2a\right)}{2x-2a}$$

Iddividi \left(x-2a\right)\left(x-a\right) b'2x-2a.

$$b=\frac{x}{2}-a$$

Solvi għal a

$$a=x$$

$$a=\frac{x-2b}{2}$$