Solve for S (complex solution)
\left\{\begin{matrix}S=\frac{K}{100}\text{, }&K\neq 0\\S\in \mathrm{C}\text{, }&V=0\text{ and }K\neq 0\end{matrix}\right.
Solve for K
\left\{\begin{matrix}K=100S\text{, }&S\neq 0\\K\neq 0\text{, }&V=0\end{matrix}\right.
Solve for S
\left\{\begin{matrix}S=\frac{K}{100}\text{, }&K\neq 0\\S\in \mathrm{R}\text{, }&V=0\text{ and }K\neq 0\end{matrix}\right.
Share
Copied to clipboard
VK=S\times 100V
Multiply both sides of the equation by K.
S\times 100V=VK
Swap sides so that all variable terms are on the left hand side.
100VS=KV
The equation is in standard form.
\frac{100VS}{100V}=\frac{KV}{100V}
Divide both sides by 100V.
S=\frac{KV}{100V}
Dividing by 100V undoes the multiplication by 100V.
S=\frac{K}{100}
Divide VK by 100V.
VK=S\times 100V
Variable K cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by K.
KV=100SV
Reorder the terms.
VK=100SV
The equation is in standard form.
\frac{VK}{V}=\frac{100SV}{V}
Divide both sides by V.
K=\frac{100SV}{V}
Dividing by V undoes the multiplication by V.
K=100S
Divide 100SV by V.
K=100S\text{, }K\neq 0
Variable K cannot be equal to 0.
VK=S\times 100V
Multiply both sides of the equation by K.
S\times 100V=VK
Swap sides so that all variable terms are on the left hand side.
100VS=KV
The equation is in standard form.
\frac{100VS}{100V}=\frac{KV}{100V}
Divide both sides by 100V.
S=\frac{KV}{100V}
Dividing by 100V undoes the multiplication by 100V.
S=\frac{K}{100}
Divide VK by 100V.
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}