Solve for m (complex solution)
\left\{\begin{matrix}m=-\frac{T-w}{q}\text{, }&q\neq 0\\m\in \mathrm{C}\text{, }&T=w\text{ and }q=0\end{matrix}\right.
Solve for T
T=w-mq
Solve for m
\left\{\begin{matrix}m=-\frac{T-w}{q}\text{, }&q\neq 0\\m\in \mathrm{R}\text{, }&T=w\text{ and }q=0\end{matrix}\right.
Share
Copied to clipboard
mq-w=-T
Swap sides so that all variable terms are on the left hand side.
mq=-T+w
Add w to both sides.
qm=w-T
The equation is in standard form.
\frac{qm}{q}=\frac{w-T}{q}
Divide both sides by q.
m=\frac{w-T}{q}
Dividing by q undoes the multiplication by q.
-T=mq-w
The equation is in standard form.
\frac{-T}{-1}=\frac{mq-w}{-1}
Divide both sides by -1.
T=\frac{mq-w}{-1}
Dividing by -1 undoes the multiplication by -1.
T=w-mq
Divide mq-w by -1.
mq-w=-T
Swap sides so that all variable terms are on the left hand side.
mq=-T+w
Add w to both sides.
qm=w-T
The equation is in standard form.
\frac{qm}{q}=\frac{w-T}{q}
Divide both sides by q.
m=\frac{w-T}{q}
Dividing by q undoes the multiplication by q.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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}