Solve for B (complex solution)
\left\{\begin{matrix}B=-4x+\frac{x}{C}\text{, }&C\neq 0\\B\in \mathrm{C}\text{, }&x=0\text{ and }C=0\end{matrix}\right.
Solve for C (complex solution)
\left\{\begin{matrix}C=\frac{x}{4x+B}\text{, }&x\neq -\frac{B}{4}\\C\in \mathrm{C}\text{, }&x=0\text{ and }B=0\end{matrix}\right.
Solve for B
\left\{\begin{matrix}B=-4x+\frac{x}{C}\text{, }&C\neq 0\\B\in \mathrm{R}\text{, }&x=0\text{ and }C=0\end{matrix}\right.
Solve for C
\left\{\begin{matrix}C=\frac{x}{4x+B}\text{, }&x\neq -\frac{B}{4}\\C\in \mathrm{R}\text{, }&x=0\text{ and }B=0\end{matrix}\right.
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x=4xC+BC
Use the distributive property to multiply 4x+B by C.
4xC+BC=x
Swap sides so that all variable terms are on the left hand side.
BC=x-4xC
Subtract 4xC from both sides.
CB=x-4Cx
The equation is in standard form.
\frac{CB}{C}=\frac{x-4Cx}{C}
Divide both sides by C.
B=\frac{x-4Cx}{C}
Dividing by C undoes the multiplication by C.
B=-4x+\frac{x}{C}
Divide x-4xC by C.
x=4xC+BC
Use the distributive property to multiply 4x+B by C.
4xC+BC=x
Swap sides so that all variable terms are on the left hand side.
\left(4x+B\right)C=x
Combine all terms containing C.
\frac{\left(4x+B\right)C}{4x+B}=\frac{x}{4x+B}
Divide both sides by 4x+B.
C=\frac{x}{4x+B}
Dividing by 4x+B undoes the multiplication by 4x+B.
x=4xC+BC
Use the distributive property to multiply 4x+B by C.
4xC+BC=x
Swap sides so that all variable terms are on the left hand side.
BC=x-4xC
Subtract 4xC from both sides.
CB=x-4Cx
The equation is in standard form.
\frac{CB}{C}=\frac{x-4Cx}{C}
Divide both sides by C.
B=\frac{x-4Cx}{C}
Dividing by C undoes the multiplication by C.
B=-4x+\frac{x}{C}
Divide x-4xC by C.
x=4xC+BC
Use the distributive property to multiply 4x+B by C.
4xC+BC=x
Swap sides so that all variable terms are on the left hand side.
\left(4x+B\right)C=x
Combine all terms containing C.
\frac{\left(4x+B\right)C}{4x+B}=\frac{x}{4x+B}
Divide both sides by 4x+B.
C=\frac{x}{4x+B}
Dividing by 4x+B undoes the multiplication by 4x+B.
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}