Solve for x (complex solution)
\left\{\begin{matrix}x=\frac{1}{2a}\text{, }&a\neq 0\\x\in \mathrm{C}\text{, }&a=2\end{matrix}\right.
Solve for x
\left\{\begin{matrix}x=\frac{1}{2a}\text{, }&a\neq 0\\x\in \mathrm{R}\text{, }&a=2\end{matrix}\right.
Solve for a
\left\{\begin{matrix}\\a=2\text{, }&\text{unconditionally}\\a=\frac{1}{2x}\text{, }&x\neq 0\end{matrix}\right.
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\left(2a^{2}-4a\right)x=a-2
Use the distributive property to multiply 2a by a-2.
\frac{\left(2a^{2}-4a\right)x}{2a^{2}-4a}=\frac{a-2}{2a^{2}-4a}
Divide both sides by 2a^{2}-4a.
x=\frac{a-2}{2a^{2}-4a}
Dividing by 2a^{2}-4a undoes the multiplication by 2a^{2}-4a.
x=\frac{1}{2a}
Divide -2+a by 2a^{2}-4a.
\left(2a^{2}-4a\right)x=a-2
Use the distributive property to multiply 2a by a-2.
\frac{\left(2a^{2}-4a\right)x}{2a^{2}-4a}=\frac{a-2}{2a^{2}-4a}
Divide both sides by 2a^{2}-4a.
x=\frac{a-2}{2a^{2}-4a}
Dividing by 2a^{2}-4a undoes the multiplication by 2a^{2}-4a.
x=\frac{1}{2a}
Divide -2+a by 2a^{2}-4a.
Examples
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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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