Solve for t (complex solution)
\left\{\begin{matrix}\\t=\frac{36}{5}=7.2\text{, }&\text{unconditionally}\\t\in \mathrm{C}\text{, }&x=0\end{matrix}\right.
Solve for x (complex solution)
\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&t=\frac{36}{5}\end{matrix}\right.
Solve for t
\left\{\begin{matrix}\\t=\frac{36}{5}=7.2\text{, }&\text{unconditionally}\\t\in \mathrm{R}\text{, }&x=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&t=\frac{36}{5}\end{matrix}\right.
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\frac{5}{36}xt=x
Combine \frac{x}{12} and \frac{x}{18} to get \frac{5}{36}x.
\frac{5x}{36}t=x
The equation is in standard form.
\frac{36\times \frac{5x}{36}t}{5x}=\frac{36x}{5x}
Divide both sides by \frac{5}{36}x.
t=\frac{36x}{5x}
Dividing by \frac{5}{36}x undoes the multiplication by \frac{5}{36}x.
t=\frac{36}{5}
Divide x by \frac{5}{36}x.
\frac{5}{36}xt=x
Combine \frac{x}{12} and \frac{x}{18} to get \frac{5}{36}x.
\frac{5}{36}xt-x=0
Subtract x from both sides.
\left(\frac{5}{36}t-1\right)x=0
Combine all terms containing x.
\left(\frac{5t}{36}-1\right)x=0
The equation is in standard form.
x=0
Divide 0 by \frac{5}{36}t-1.
\frac{5}{36}xt=x
Combine \frac{x}{12} and \frac{x}{18} to get \frac{5}{36}x.
\frac{5x}{36}t=x
The equation is in standard form.
\frac{36\times \frac{5x}{36}t}{5x}=\frac{36x}{5x}
Divide both sides by \frac{5}{36}x.
t=\frac{36x}{5x}
Dividing by \frac{5}{36}x undoes the multiplication by \frac{5}{36}x.
t=\frac{36}{5}
Divide x by \frac{5}{36}x.
\frac{5}{36}xt=x
Combine \frac{x}{12} and \frac{x}{18} to get \frac{5}{36}x.
\frac{5}{36}xt-x=0
Subtract x from both sides.
\left(\frac{5}{36}t-1\right)x=0
Combine all terms containing x.
\left(\frac{5t}{36}-1\right)x=0
The equation is in standard form.
x=0
Divide 0 by \frac{5}{36}t-1.
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