Evaluate
-\frac{3x}{2}+3
Expand
-\frac{3x}{2}+3
Graph
Share
Copied to clipboard
-\frac{3}{2}\left(x-2\right)
Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.
-\frac{3}{2}x-\frac{3}{2}\left(-2\right)
Use the distributive property to multiply -\frac{3}{2} by x-2.
-\frac{3}{2}x+\frac{-3\left(-2\right)}{2}
Express -\frac{3}{2}\left(-2\right) as a single fraction.
-\frac{3}{2}x+\frac{6}{2}
Multiply -3 and -2 to get 6.
-\frac{3}{2}x+3
Divide 6 by 2 to get 3.
-\frac{3}{2}\left(x-2\right)
Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.
-\frac{3}{2}x-\frac{3}{2}\left(-2\right)
Use the distributive property to multiply -\frac{3}{2} by x-2.
-\frac{3}{2}x+\frac{-3\left(-2\right)}{2}
Express -\frac{3}{2}\left(-2\right) as a single fraction.
-\frac{3}{2}x+\frac{6}{2}
Multiply -3 and -2 to get 6.
-\frac{3}{2}x+3
Divide 6 by 2 to get 3.
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}