Evaluate
6x-\frac{9}{2}
Factor
\frac{3\left(4x-3\right)}{2}
Graph
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6x-\left(-\frac{1}{2}\right)-5
Reduce the fraction \frac{4}{-8} to lowest terms by extracting and canceling out 4.
6x+\frac{1}{2}-5
The opposite of -\frac{1}{2} is \frac{1}{2}.
6x+\frac{1}{2}-\frac{10}{2}
Convert 5 to fraction \frac{10}{2}.
6x+\frac{1-10}{2}
Since \frac{1}{2} and \frac{10}{2} have the same denominator, subtract them by subtracting their numerators.
6x-\frac{9}{2}
Subtract 10 from 1 to get -9.
\frac{12x-9}{2}
Factor out \frac{1}{2}.
12x-9
Consider 12x+1-10. Multiply and combine like terms.
3\left(4x-3\right)
Consider 12x-9. Factor out 3.
\frac{3\left(4x-3\right)}{2}
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}