Solve for P
\left\{\begin{matrix}P=\frac{Q}{rt+1}\text{, }&t=0\text{ or }r\neq -\frac{1}{t}\\P\in \mathrm{R}\text{, }&Q=0\text{ and }r=-\frac{1}{t}\text{ and }t\neq 0\end{matrix}\right.
Solve for Q
Q=P\left(rt+1\right)
Share
Copied to clipboard
Q=P+Prt
Use the distributive property to multiply P by 1+rt.
P+Prt=Q
Swap sides so that all variable terms are on the left hand side.
\left(1+rt\right)P=Q
Combine all terms containing P.
\left(rt+1\right)P=Q
The equation is in standard form.
\frac{\left(rt+1\right)P}{rt+1}=\frac{Q}{rt+1}
Divide both sides by 1+rt.
P=\frac{Q}{rt+1}
Dividing by 1+rt undoes the multiplication by 1+rt.
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}