Evaluate
-\frac{3x}{2}+\frac{3}{4}
Expand
-\frac{3x}{2}+\frac{3}{4}
Graph
Quiz
Polynomial
5 problems similar to:
\frac{ 3 }{ 2 } \left( \frac{ 1 }{ 2 } - \frac{ 2x }{ 2 } \right)
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\frac{3}{2}\left(\frac{1}{2}-x\right)
Cancel out 2 and 2.
\frac{3}{2}\times \frac{1}{2}+\frac{3}{2}\left(-x\right)
Use the distributive property to multiply \frac{3}{2} by \frac{1}{2}-x.
\frac{3\times 1}{2\times 2}+\frac{3}{2}\left(-x\right)
Multiply \frac{3}{2} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{3}{4}+\frac{3}{2}\left(-x\right)
Do the multiplications in the fraction \frac{3\times 1}{2\times 2}.
\frac{3}{4}-\frac{3}{2}x
Multiply \frac{3}{2} and -1 to get -\frac{3}{2}.
\frac{3}{2}\left(\frac{1}{2}-x\right)
Cancel out 2 and 2.
\frac{3}{2}\times \frac{1}{2}+\frac{3}{2}\left(-x\right)
Use the distributive property to multiply \frac{3}{2} by \frac{1}{2}-x.
\frac{3\times 1}{2\times 2}+\frac{3}{2}\left(-x\right)
Multiply \frac{3}{2} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{3}{4}+\frac{3}{2}\left(-x\right)
Do the multiplications in the fraction \frac{3\times 1}{2\times 2}.
\frac{3}{4}-\frac{3}{2}x
Multiply \frac{3}{2} and -1 to get -\frac{3}{2}.
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}