Evaluate
-\frac{x}{2}-\frac{3a}{4}
Factor
\frac{-2x-3a}{4}
Graph
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-\frac{4}{3}a-\frac{3}{5}x+\frac{1}{10}x+\frac{7}{12}a
Combine \frac{2}{5}x and -x to get -\frac{3}{5}x.
-\frac{4}{3}a-\frac{1}{2}x+\frac{7}{12}a
Combine -\frac{3}{5}x and \frac{1}{10}x to get -\frac{1}{2}x.
-\frac{3}{4}a-\frac{1}{2}x
Combine -\frac{4}{3}a and \frac{7}{12}a to get -\frac{3}{4}a.
\frac{-80a+24x-60x+6x+35a}{60}
Factor out \frac{1}{60}.
-30x-45a
Consider -80a+24x-60x+6x+35a. Multiply and combine like terms.
15\left(-2x-3a\right)
Consider -30x-45a. Factor out 15.
\frac{-2x-3a}{4}
Rewrite the complete factored expression.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}