Evaluate
\frac{x}{6}+47
Factor
\frac{x+282}{6}
Graph
Share
Copied to clipboard
\frac{5}{3}x+5\times 7-3\times \frac{1}{2}x+3\times 4
Multiply 5 and \frac{1}{3} to get \frac{5}{3}.
\frac{5}{3}x+35-3\times \frac{1}{2}x+3\times 4
Multiply 5 and 7 to get 35.
\frac{5}{3}x+35-\frac{3}{2}x+3\times 4
Multiply 3 and \frac{1}{2} to get \frac{3}{2}.
\frac{1}{6}x+35+3\times 4
Combine \frac{5}{3}x and -\frac{3}{2}x to get \frac{1}{6}x.
\frac{1}{6}x+35+12
Multiply 3 and 4 to get 12.
\frac{1}{6}x+47
Add 35 and 12 to get 47.
\frac{x+282}{6}
Factor out \frac{1}{6}.
x+282
Consider 10x+210-9x+72. Multiply and combine like terms.
\frac{x+282}{6}
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}