Solve for a_5
a_{5}=-5q
Solve for q
q=-\frac{a_{5}}{5}
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-a_{5}=5q
Swap sides so that all variable terms are on the left hand side.
\frac{-a_{5}}{-1}=\frac{5q}{-1}
Divide both sides by -1.
a_{5}=\frac{5q}{-1}
Dividing by -1 undoes the multiplication by -1.
a_{5}=-5q
Divide 5q by -1.
5q=-a_{5}
The equation is in standard form.
\frac{5q}{5}=-\frac{a_{5}}{5}
Divide both sides by 5.
q=-\frac{a_{5}}{5}
Dividing by 5 undoes the multiplication by 5.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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.
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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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