Solve for v
v = -\frac{9}{4} = -2\frac{1}{4} = -2.25
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v-2=-\frac{17}{4}
Swap sides so that all variable terms are on the left hand side.
v=-\frac{17}{4}+2
Add 2 to both sides.
v=-\frac{17}{4}+\frac{8}{4}
Convert 2 to fraction \frac{8}{4}.
v=\frac{-17+8}{4}
Since -\frac{17}{4} and \frac{8}{4} have the same denominator, add them by adding their numerators.
v=-\frac{9}{4}
Add -17 and 8 to get -9.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
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.
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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