Solve for x
\left\{\begin{matrix}x=\frac{Q}{y-z}\text{, }&y\neq z\\x\in \mathrm{R}\text{, }&Q=0\text{ and }y=z\end{matrix}\right.
Solve for Q
Q=x\left(y-z\right)
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Q=xy-xz
Use the distributive property to multiply x by y-z.
xy-xz=Q
Swap sides so that all variable terms are on the left hand side.
\left(y-z\right)x=Q
Combine all terms containing x.
\frac{\left(y-z\right)x}{y-z}=\frac{Q}{y-z}
Divide both sides by y-z.
x=\frac{Q}{y-z}
Dividing by y-z undoes the multiplication by y-z.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\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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