Solve for v
v=\frac{-\alpha _{v}-3}{5}
Solve for α_v
\alpha _{v}=-5v-3
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-5v-3=\alpha _{v}
Swap sides so that all variable terms are on the left hand side.
-5v=\alpha _{v}+3
Add 3 to both sides.
\frac{-5v}{-5}=\frac{\alpha _{v}+3}{-5}
Divide both sides by -5.
v=\frac{\alpha _{v}+3}{-5}
Dividing by -5 undoes the multiplication by -5.
v=\frac{-\alpha _{v}-3}{5}
Divide \alpha _{v}+3 by -5.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
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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