Solve for a (complex solution)
\left\{\begin{matrix}a=\frac{x}{8a_{0}h^{2}}\text{, }&h\neq 0\text{ and }a_{0}\neq 0\\a\in \mathrm{C}\text{, }&\left(h=0\text{ or }a_{0}=0\right)\text{ and }x=0\end{matrix}\right.
Solve for a_0 (complex solution)
\left\{\begin{matrix}a_{0}=\frac{x}{8ah^{2}}\text{, }&h\neq 0\text{ and }a\neq 0\\a_{0}\in \mathrm{C}\text{, }&\left(h=0\text{ or }a=0\right)\text{ and }x=0\end{matrix}\right.
Solve for a
\left\{\begin{matrix}a=\frac{x}{8a_{0}h^{2}}\text{, }&h\neq 0\text{ and }a_{0}\neq 0\\a\in \mathrm{R}\text{, }&\left(h=0\text{ or }a_{0}=0\right)\text{ and }x=0\end{matrix}\right.
Solve for a_0
\left\{\begin{matrix}a_{0}=\frac{x}{8ah^{2}}\text{, }&h\neq 0\text{ and }a\neq 0\\a_{0}\in \mathrm{R}\text{, }&\left(h=0\text{ or }a=0\right)\text{ and }x=0\end{matrix}\right.
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x=8aa_{0}hh
Multiply both sides of the equation by 8.
x=8aa_{0}h^{2}
Multiply h and h to get h^{2}.
8aa_{0}h^{2}=x
Swap sides so that all variable terms are on the left hand side.
8a_{0}h^{2}a=x
The equation is in standard form.
\frac{8a_{0}h^{2}a}{8a_{0}h^{2}}=\frac{x}{8a_{0}h^{2}}
Divide both sides by 8a_{0}h^{2}.
a=\frac{x}{8a_{0}h^{2}}
Dividing by 8a_{0}h^{2} undoes the multiplication by 8a_{0}h^{2}.
x=8aa_{0}hh
Multiply both sides of the equation by 8.
x=8aa_{0}h^{2}
Multiply h and h to get h^{2}.
8aa_{0}h^{2}=x
Swap sides so that all variable terms are on the left hand side.
8ah^{2}a_{0}=x
The equation is in standard form.
\frac{8ah^{2}a_{0}}{8ah^{2}}=\frac{x}{8ah^{2}}
Divide both sides by 8ah^{2}.
a_{0}=\frac{x}{8ah^{2}}
Dividing by 8ah^{2} undoes the multiplication by 8ah^{2}.
x=8aa_{0}hh
Multiply both sides of the equation by 8.
x=8aa_{0}h^{2}
Multiply h and h to get h^{2}.
8aa_{0}h^{2}=x
Swap sides so that all variable terms are on the left hand side.
8a_{0}h^{2}a=x
The equation is in standard form.
\frac{8a_{0}h^{2}a}{8a_{0}h^{2}}=\frac{x}{8a_{0}h^{2}}
Divide both sides by 8a_{0}h^{2}.
a=\frac{x}{8a_{0}h^{2}}
Dividing by 8a_{0}h^{2} undoes the multiplication by 8a_{0}h^{2}.
x=8aa_{0}hh
Multiply both sides of the equation by 8.
x=8aa_{0}h^{2}
Multiply h and h to get h^{2}.
8aa_{0}h^{2}=x
Swap sides so that all variable terms are on the left hand side.
8ah^{2}a_{0}=x
The equation is in standard form.
\frac{8ah^{2}a_{0}}{8ah^{2}}=\frac{x}{8ah^{2}}
Divide both sides by 8ah^{2}.
a_{0}=\frac{x}{8ah^{2}}
Dividing by 8ah^{2} undoes the multiplication by 8ah^{2}.
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Simultaneous equation
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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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