Solve for k (complex solution)
\left\{\begin{matrix}\\k=-\frac{1}{3}\approx -0.333333333\text{, }&\text{unconditionally}\\k\in \mathrm{C}\text{, }&x=0\end{matrix}\right.
Solve for k
\left\{\begin{matrix}\\k=-\frac{1}{3}\approx -0.333333333\text{, }&\text{unconditionally}\\k\in \mathrm{R}\text{, }&x=0\end{matrix}\right.
Solve for x (complex solution)
\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&k=-\frac{1}{3}\end{matrix}\right.
Solve for x
\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&k=-\frac{1}{3}\end{matrix}\right.
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3kx=-x
Swap sides so that all variable terms are on the left hand side.
3xk=-x
The equation is in standard form.
\frac{3xk}{3x}=-\frac{x}{3x}
Divide both sides by 3x.
k=-\frac{x}{3x}
Dividing by 3x undoes the multiplication by 3x.
k=-\frac{1}{3}
Divide -x by 3x.
3kx=-x
Swap sides so that all variable terms are on the left hand side.
3xk=-x
The equation is in standard form.
\frac{3xk}{3x}=-\frac{x}{3x}
Divide both sides by 3x.
k=-\frac{x}{3x}
Dividing by 3x undoes the multiplication by 3x.
k=-\frac{1}{3}
Divide -x by 3x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
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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
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