Solve for k (complex solution)
\left\{\begin{matrix}k=-\frac{7mx+m-3j}{4x}\text{, }&x\neq 0\\k\in \mathrm{C}\text{, }&j=\frac{m}{3}\text{ and }x=0\end{matrix}\right.
Solve for j
j=\frac{4kx+7mx+m}{3}
Solve for k
\left\{\begin{matrix}k=-\frac{7mx+m-3j}{4x}\text{, }&x\neq 0\\k\in \mathrm{R}\text{, }&j=\frac{m}{3}\text{ and }x=0\end{matrix}\right.
Graph
Share
Copied to clipboard
4kx+7mx+m=3j
Swap sides so that all variable terms are on the left hand side.
4kx+m=3j-7mx
Subtract 7mx from both sides.
4kx=3j-7mx-m
Subtract m from both sides.
4xk=-7mx+3j-m
The equation is in standard form.
\frac{4xk}{4x}=\frac{-7mx+3j-m}{4x}
Divide both sides by 4x.
k=\frac{-7mx+3j-m}{4x}
Dividing by 4x undoes the multiplication by 4x.
3j=4kx+7mx+m
The equation is in standard form.
\frac{3j}{3}=\frac{4kx+7mx+m}{3}
Divide both sides by 3.
j=\frac{4kx+7mx+m}{3}
Dividing by 3 undoes the multiplication by 3.
4kx+7mx+m=3j
Swap sides so that all variable terms are on the left hand side.
4kx+m=3j-7mx
Subtract 7mx from both sides.
4kx=3j-7mx-m
Subtract m from both sides.
4xk=-7mx+3j-m
The equation is in standard form.
\frac{4xk}{4x}=\frac{-7mx+3j-m}{4x}
Divide both sides by 4x.
k=\frac{-7mx+3j-m}{4x}
Dividing by 4x undoes the multiplication by 4x.
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}