Solve for n
n=S\left(1-r\right)
r\neq 1
Solve for S
S=\frac{n}{1-r}
r\neq 1
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S\left(-r+1\right)=n
Multiply both sides of the equation by -r+1.
-Sr+S=n
Use the distributive property to multiply S by -r+1.
n=-Sr+S
Swap sides so that all variable terms are on the left hand side.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
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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
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Limits
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