Solve for T (complex solution)
\left\{\begin{matrix}T=-\frac{2c+d-22}{ab}\text{, }&b\neq 0\text{ and }a\neq 0\\T\in \mathrm{C}\text{, }&c=-\frac{d}{2}+11\text{ and }\left(b=0\text{ or }a=0\right)\end{matrix}\right.
Solve for a (complex solution)
\left\{\begin{matrix}a=-\frac{2c+d-22}{Tb}\text{, }&b\neq 0\text{ and }T\neq 0\\a\in \mathrm{C}\text{, }&c=-\frac{d}{2}+11\text{ and }\left(b=0\text{ or }T=0\right)\end{matrix}\right.
Solve for T
\left\{\begin{matrix}T=-\frac{2c+d-22}{ab}\text{, }&b\neq 0\text{ and }a\neq 0\\T\in \mathrm{R}\text{, }&c=-\frac{d}{2}+11\text{ and }\left(b=0\text{ or }a=0\right)\end{matrix}\right.
Solve for a
\left\{\begin{matrix}a=-\frac{2c+d-22}{Tb}\text{, }&b\neq 0\text{ and }T\neq 0\\a\in \mathrm{R}\text{, }&c=-\frac{d}{2}+11\text{ and }\left(b=0\text{ or }T=0\right)\end{matrix}\right.
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aTb+d=22-2c
Subtract 2c from both sides.
aTb=22-2c-d
Subtract d from both sides.
abT=22-d-2c
The equation is in standard form.
\frac{abT}{ab}=\frac{22-d-2c}{ab}
Divide both sides by ab.
T=\frac{22-d-2c}{ab}
Dividing by ab undoes the multiplication by ab.
aTb+d=22-2c
Subtract 2c from both sides.
aTb=22-2c-d
Subtract d from both sides.
Tba=22-d-2c
The equation is in standard form.
\frac{Tba}{Tb}=\frac{22-d-2c}{Tb}
Divide both sides by Tb.
a=\frac{22-d-2c}{Tb}
Dividing by Tb undoes the multiplication by Tb.
aTb+d=22-2c
Subtract 2c from both sides.
aTb=22-2c-d
Subtract d from both sides.
abT=22-d-2c
The equation is in standard form.
\frac{abT}{ab}=\frac{22-d-2c}{ab}
Divide both sides by ab.
T=\frac{22-d-2c}{ab}
Dividing by ab undoes the multiplication by ab.
aTb+d=22-2c
Subtract 2c from both sides.
aTb=22-2c-d
Subtract d from both sides.
Tba=22-d-2c
The equation is in standard form.
\frac{Tba}{Tb}=\frac{22-d-2c}{Tb}
Divide both sides by Tb.
a=\frac{22-d-2c}{Tb}
Dividing by Tb undoes the multiplication by Tb.
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