Solve for a (complex solution)
\left\{\begin{matrix}\\a=\frac{x-5}{10}\text{, }&\text{unconditionally}\\a\in \mathrm{C}\text{, }&x=0\end{matrix}\right.
Solve for a
\left\{\begin{matrix}\\a=\frac{x-5}{10}\text{, }&\text{unconditionally}\\a\in \mathrm{R}\text{, }&x=0\end{matrix}\right.
Solve for x
x=10a+5
x=0
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10xa=x^{2}-5x
Swap sides so that all variable terms are on the left hand side.
\frac{10xa}{10x}=\frac{x\left(x-5\right)}{10x}
Divide both sides by 10x.
a=\frac{x\left(x-5\right)}{10x}
Dividing by 10x undoes the multiplication by 10x.
a=\frac{x}{10}-\frac{1}{2}
Divide x\left(-5+x\right) by 10x.
10xa=x^{2}-5x
Swap sides so that all variable terms are on the left hand side.
\frac{10xa}{10x}=\frac{x\left(x-5\right)}{10x}
Divide both sides by 10x.
a=\frac{x\left(x-5\right)}{10x}
Dividing by 10x undoes the multiplication by 10x.
a=\frac{x}{10}-\frac{1}{2}
Divide x\left(-5+x\right) by 10x.
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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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