Solve for t (complex solution)
\left\{\begin{matrix}t=\frac{y}{x}\text{, }&x\neq 0\\t\in \mathrm{C}\text{, }&y=0\text{ and }x=0\end{matrix}\right.
Solve for x (complex solution)
\left\{\begin{matrix}x=\frac{y}{t}\text{, }&t\neq 0\\x\in \mathrm{C}\text{, }&y=0\text{ and }t=0\end{matrix}\right.
Solve for t
\left\{\begin{matrix}t=\frac{y}{x}\text{, }&x\neq 0\\t\in \mathrm{R}\text{, }&y=0\text{ and }x=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}x=\frac{y}{t}\text{, }&t\neq 0\\x\in \mathrm{R}\text{, }&y=0\text{ and }t=0\end{matrix}\right.
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tx=y
Swap sides so that all variable terms are on the left hand side.
xt=y
The equation is in standard form.
\frac{xt}{x}=\frac{y}{x}
Divide both sides by x.
t=\frac{y}{x}
Dividing by x undoes the multiplication by x.
tx=y
Swap sides so that all variable terms are on the left hand side.
\frac{tx}{t}=\frac{y}{t}
Divide both sides by t.
x=\frac{y}{t}
Dividing by t undoes the multiplication by t.
tx=y
Swap sides so that all variable terms are on the left hand side.
xt=y
The equation is in standard form.
\frac{xt}{x}=\frac{y}{x}
Divide both sides by x.
t=\frac{y}{x}
Dividing by x undoes the multiplication by x.
tx=y
Swap sides so that all variable terms are on the left hand side.
\frac{tx}{t}=\frac{y}{t}
Divide both sides by t.
x=\frac{y}{t}
Dividing by t undoes the multiplication by t.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Matrix
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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