Solve for O (complex solution)
\left\{\begin{matrix}O=\frac{3\left(x+10\right)}{g}\text{, }&g\neq 0\\O\in \mathrm{C}\text{, }&x=-10\text{ and }g=0\end{matrix}\right.
Solve for g (complex solution)
\left\{\begin{matrix}g=\frac{3\left(x+10\right)}{O}\text{, }&O\neq 0\\g\in \mathrm{C}\text{, }&x=-10\text{ and }O=0\end{matrix}\right.
Solve for O
\left\{\begin{matrix}O=\frac{3\left(x+10\right)}{g}\text{, }&g\neq 0\\O\in \mathrm{R}\text{, }&x=-10\text{ and }g=0\end{matrix}\right.
Solve for g
\left\{\begin{matrix}g=\frac{3\left(x+10\right)}{O}\text{, }&O\neq 0\\g\in \mathrm{R}\text{, }&x=-10\text{ and }O=0\end{matrix}\right.
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gO=2x+30+x
Add x to both sides.
gO=3x+30
Combine 2x and x to get 3x.
\frac{gO}{g}=\frac{3x+30}{g}
Divide both sides by g.
O=\frac{3x+30}{g}
Dividing by g undoes the multiplication by g.
O=\frac{3\left(x+10\right)}{g}
Divide 30+3x by g.
gO=2x+30+x
Add x to both sides.
gO=3x+30
Combine 2x and x to get 3x.
Og=3x+30
The equation is in standard form.
\frac{Og}{O}=\frac{3x+30}{O}
Divide both sides by O.
g=\frac{3x+30}{O}
Dividing by O undoes the multiplication by O.
g=\frac{3\left(x+10\right)}{O}
Divide 30+3x by O.
gO=2x+30+x
Add x to both sides.
gO=3x+30
Combine 2x and x to get 3x.
\frac{gO}{g}=\frac{3x+30}{g}
Divide both sides by g.
O=\frac{3x+30}{g}
Dividing by g undoes the multiplication by g.
O=\frac{3\left(x+10\right)}{g}
Divide 30+3x by g.
gO=2x+30+x
Add x to both sides.
gO=3x+30
Combine 2x and x to get 3x.
Og=3x+30
The equation is in standard form.
\frac{Og}{O}=\frac{3x+30}{O}
Divide both sides by O.
g=\frac{3x+30}{O}
Dividing by O undoes the multiplication by O.
g=\frac{3\left(x+10\right)}{O}
Divide 30+3x by O.
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{ x } ^ { 2 } - 4 x - 5 = 0
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}