Solve for a (complex solution)
\left\{\begin{matrix}\\a=0\text{, }&\text{unconditionally}\\a\in \mathrm{C}\text{, }&x=-\frac{\sqrt{3}}{3}\text{ or }x=\frac{\sqrt{3}}{3}\end{matrix}\right.
Solve for a
\left\{\begin{matrix}\\a=0\text{, }&\text{unconditionally}\\a\in \mathrm{R}\text{, }&|x|=\frac{\sqrt{3}}{3}\end{matrix}\right.
Solve for x (complex solution)
\left\{\begin{matrix}\\x=-\frac{\sqrt{3}}{3}\text{; }x=\frac{\sqrt{3}}{3}\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&a=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}\\x=\frac{\sqrt{3}}{3}\text{; }x=-\frac{\sqrt{3}}{3}\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&a=0\end{matrix}\right.
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\left(3x^{2}-1\right)a=0
Combine all terms containing a.
a=0
Divide 0 by 3x^{2}-1.
\left(3x^{2}-1\right)a=0
Combine all terms containing a.
a=0
Divide 0 by 3x^{2}-1.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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
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