Solvi għal g (complex solution)
\left\{\begin{matrix}g=\frac{\left(7x-6\right)\left(x+1\right)}{6yx^{2}}\text{, }&x\neq 0\text{ and }y\neq 0\text{ and }x\neq -1\\g\in \mathrm{C}\text{, }&x=\frac{6}{7}\text{ and }y=0\end{matrix}\right.
Solvi għal g
\left\{\begin{matrix}g=\frac{\left(7x-6\right)\left(x+1\right)}{6yx^{2}}\text{, }&x\neq 0\text{ and }y\neq 0\text{ and }x\neq -1\\g\in \mathrm{R}\text{, }&x=\frac{6}{7}\text{ and }y=0\end{matrix}\right.
Solvi għal x (complex solution)
\left\{\begin{matrix}x=-\frac{\sqrt{169-144gy}-13}{12gy+\sqrt{169-144gy}-13}\text{, }&y\neq 0\text{ and }g\neq 0\\x=\frac{\sqrt{169-144gy}+13}{12gy-\sqrt{169-144gy}-13}\text{, }&g\neq \frac{7}{6y}\text{ and }y\neq 0\text{ and }g\neq 0\\x=\frac{6}{7}\text{, }&y=0\text{ or }g=0\end{matrix}\right.
Solvi għal x
\left\{\begin{matrix}x=-\frac{\sqrt{169-144gy}-13}{12gy+\sqrt{169-144gy}-13}\text{, }&\left(g\neq 0\text{ and }g\geq \frac{169}{144y}\text{ and }y<0\right)\text{ or }\left(g\neq 0\text{ and }g\leq \frac{169}{144y}\text{ and }y>0\right)\text{ or }\left(g=\frac{169}{144y}\text{ and }y\neq 0\right)\\x=\frac{\sqrt{169-144gy}+13}{12gy-\sqrt{169-144gy}-13}\text{, }&\left(g\neq \frac{7}{6y}\text{ and }g\geq \frac{169}{144y}\text{ and }g\neq 0\text{ and }y<0\right)\text{ or }\left(g\neq \frac{7}{6y}\text{ and }g\leq \frac{169}{144y}\text{ and }g\neq 0\text{ and }y>0\right)\text{ or }\left(g=\frac{169}{144y}\text{ and }y\neq 0\right)\\x=12\text{, }&g=\frac{169}{144y}\text{ and }y\neq 0\\x=\frac{6}{7}\text{, }&y=0\text{ or }g=0\end{matrix}\right.
Graff
Sehem
Ikkupjat fuq il-klibbord
6xgyx+\left(6x+6\right)\left(x+1\right)=13x\left(x+1\right)
Immultiplika ż-żewġ naħat tal-ekwazzjoni b'6x\left(x+1\right), l-inqas denominatur komuni ta' x+1,x,6.
6x^{2}gy+\left(6x+6\right)\left(x+1\right)=13x\left(x+1\right)
Immultiplika x u x biex tikseb x^{2}.
6x^{2}gy+6x^{2}+12x+6=13x\left(x+1\right)
Uża l-propjetà distributtiva biex timmultiplika 6x+6 b'x+1 u kkombina termini simili.
6x^{2}gy+6x^{2}+12x+6=13x^{2}+13x
Uża l-propjetà distributtiva biex timmultiplika 13x b'x+1.
6x^{2}gy+12x+6=13x^{2}+13x-6x^{2}
Naqqas 6x^{2} miż-żewġ naħat.
6x^{2}gy+12x+6=7x^{2}+13x
Ikkombina 13x^{2} u -6x^{2} biex tikseb 7x^{2}.
6x^{2}gy+6=7x^{2}+13x-12x
Naqqas 12x miż-żewġ naħat.
6x^{2}gy+6=7x^{2}+x
Ikkombina 13x u -12x biex tikseb x.
6x^{2}gy=7x^{2}+x-6
Naqqas 6 miż-żewġ naħat.
6yx^{2}g=7x^{2}+x-6
L-ekwazzjoni hija f'forma standard.
\frac{6yx^{2}g}{6yx^{2}}=\frac{\left(7x-6\right)\left(x+1\right)}{6yx^{2}}
Iddividi ż-żewġ naħat b'6x^{2}y.
g=\frac{\left(7x-6\right)\left(x+1\right)}{6yx^{2}}
Meta tiddividi b'6x^{2}y titneħħa l-multiplikazzjoni b'6x^{2}y.
6xgyx+\left(6x+6\right)\left(x+1\right)=13x\left(x+1\right)
Immultiplika ż-żewġ naħat tal-ekwazzjoni b'6x\left(x+1\right), l-inqas denominatur komuni ta' x+1,x,6.
6x^{2}gy+\left(6x+6\right)\left(x+1\right)=13x\left(x+1\right)
Immultiplika x u x biex tikseb x^{2}.
6x^{2}gy+6x^{2}+12x+6=13x\left(x+1\right)
Uża l-propjetà distributtiva biex timmultiplika 6x+6 b'x+1 u kkombina termini simili.
6x^{2}gy+6x^{2}+12x+6=13x^{2}+13x
Uża l-propjetà distributtiva biex timmultiplika 13x b'x+1.
6x^{2}gy+12x+6=13x^{2}+13x-6x^{2}
Naqqas 6x^{2} miż-żewġ naħat.
6x^{2}gy+12x+6=7x^{2}+13x
Ikkombina 13x^{2} u -6x^{2} biex tikseb 7x^{2}.
6x^{2}gy+6=7x^{2}+13x-12x
Naqqas 12x miż-żewġ naħat.
6x^{2}gy+6=7x^{2}+x
Ikkombina 13x u -12x biex tikseb x.
6x^{2}gy=7x^{2}+x-6
Naqqas 6 miż-żewġ naħat.
6yx^{2}g=7x^{2}+x-6
L-ekwazzjoni hija f'forma standard.
\frac{6yx^{2}g}{6yx^{2}}=\frac{\left(7x-6\right)\left(x+1\right)}{6yx^{2}}
Iddividi ż-żewġ naħat b'6x^{2}y.
g=\frac{\left(7x-6\right)\left(x+1\right)}{6yx^{2}}
Meta tiddividi b'6x^{2}y titneħħa l-multiplikazzjoni b'6x^{2}y.
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