Evaluate
4x-\frac{38}{9}
Factor
\frac{2\left(18x-19\right)}{9}
Graph
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\frac{16}{9}+4x-\frac{72}{9}+2
Convert 8 to fraction \frac{72}{9}.
\frac{16-72}{9}+4x+2
Since \frac{16}{9} and \frac{72}{9} have the same denominator, subtract them by subtracting their numerators.
-\frac{56}{9}+4x+2
Subtract 72 from 16 to get -56.
-\frac{56}{9}+4x+\frac{18}{9}
Convert 2 to fraction \frac{18}{9}.
\frac{-56+18}{9}+4x
Since -\frac{56}{9} and \frac{18}{9} have the same denominator, add them by adding their numerators.
-\frac{38}{9}+4x
Add -56 and 18 to get -38.
\frac{2\left(-19+18x\right)}{9}
Factor out \frac{2}{9}.
18x-19
Consider 8+18x-36+9. Multiply and combine like terms.
\frac{2\left(18x-19\right)}{9}
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}