Solve for g (complex solution)
\left\{\begin{matrix}\\g=0\text{, }&\text{unconditionally}\\g\in \mathrm{C}\text{, }&k=0\end{matrix}\right.
Solve for k (complex solution)
\left\{\begin{matrix}\\k=0\text{, }&\text{unconditionally}\\k\in \mathrm{C}\text{, }&g=0\end{matrix}\right.
Solve for g
\left\{\begin{matrix}\\g=0\text{, }&\text{unconditionally}\\g\in \mathrm{R}\text{, }&k=0\end{matrix}\right.
Solve for k
\left\{\begin{matrix}\\k=0\text{, }&\text{unconditionally}\\k\in \mathrm{R}\text{, }&g=0\end{matrix}\right.
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0\times 0g=kg
Multiply 0 and 0 to get 0.
0g=kg
Multiply 0 and 0 to get 0.
0=kg
Anything times zero gives zero.
kg=0
Swap sides so that all variable terms are on the left hand side.
g=0
Divide 0 by k.
0\times 0g=kg
Multiply 0 and 0 to get 0.
0g=kg
Multiply 0 and 0 to get 0.
0=kg
Anything times zero gives zero.
kg=0
Swap sides so that all variable terms are on the left hand side.
gk=0
The equation is in standard form.
k=0
Divide 0 by g.
0\times 0g=kg
Multiply 0 and 0 to get 0.
0g=kg
Multiply 0 and 0 to get 0.
0=kg
Anything times zero gives zero.
kg=0
Swap sides so that all variable terms are on the left hand side.
g=0
Divide 0 by k.
0\times 0g=kg
Multiply 0 and 0 to get 0.
0g=kg
Multiply 0 and 0 to get 0.
0=kg
Anything times zero gives zero.
kg=0
Swap sides so that all variable terms are on the left hand side.
gk=0
The equation is in standard form.
k=0
Divide 0 by g.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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}