Solve for x
x=\frac{x_{1}}{x_{2}}
x_{2}\neq 0
Solve for x_1
x_{1}=xx_{2}
x_{2}\neq 0
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x_{1}=xx_{2}
Multiply both sides of the equation by x_{2}.
xx_{2}=x_{1}
Swap sides so that all variable terms are on the left hand side.
x_{2}x=x_{1}
The equation is in standard form.
\frac{x_{2}x}{x_{2}}=\frac{x_{1}}{x_{2}}
Divide both sides by x_{2}.
x=\frac{x_{1}}{x_{2}}
Dividing by x_{2} undoes the multiplication by x_{2}.
x_{1}=xx_{2}
Multiply both sides of the equation by x_{2}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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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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