Solve for k (complex solution)
\left\{\begin{matrix}k=\frac{9\left(m+5\right)}{4x}\text{, }&x\neq 0\\k\in \mathrm{C}\text{, }&m=-5\text{ and }x=0\end{matrix}\right.
Solve for k
\left\{\begin{matrix}k=\frac{9\left(m+5\right)}{4x}\text{, }&x\neq 0\\k\in \mathrm{R}\text{, }&m=-5\text{ and }x=0\end{matrix}\right.
Solve for m
m=\frac{4kx}{9}-5
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\frac{4kx}{9}-5=m
Swap sides so that all variable terms are on the left hand side.
\frac{4kx}{9}=m+5
Add 5 to both sides.
4kx=9m+45
Multiply both sides of the equation by 9.
4xk=9m+45
The equation is in standard form.
\frac{4xk}{4x}=\frac{9m+45}{4x}
Divide both sides by 4x.
k=\frac{9m+45}{4x}
Dividing by 4x undoes the multiplication by 4x.
k=\frac{9\left(m+5\right)}{4x}
Divide 45+9m by 4x.
\frac{4kx}{9}-5=m
Swap sides so that all variable terms are on the left hand side.
\frac{4kx}{9}=m+5
Add 5 to both sides.
4kx=9m+45
Multiply both sides of the equation by 9.
4xk=9m+45
The equation is in standard form.
\frac{4xk}{4x}=\frac{9m+45}{4x}
Divide both sides by 4x.
k=\frac{9m+45}{4x}
Dividing by 4x undoes the multiplication by 4x.
k=\frac{9\left(m+5\right)}{4x}
Divide 45+9m by 4x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}