( 9 \cdot \frac { 6 } { x } - 9 ) + ( 2 \cdot 0 ) + ( 3 \cdot ( - 3 ) + ( 7 \cdot - 5 )
Evaluate
-53+\frac{54}{x}
Factor
-\frac{53x-54}{x}
Graph
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9\times \frac{6}{x}-9+0-9-35
Multiply 2 and 0 to get 0. Multiply 3 and -3 to get -9. Multiply 7 and -5 to get -35.
\frac{9\times 6}{x}-9+0-9-35
Express 9\times \frac{6}{x} as a single fraction.
\frac{9\times 6}{x}-9-9-35
Add -9 and 0 to get -9.
\frac{9\times 6}{x}-18-35
Subtract 9 from -9 to get -18.
\frac{9\times 6}{x}-53
Subtract 35 from -18 to get -53.
\frac{9\times 6}{x}-\frac{53x}{x}
To add or subtract expressions, expand them to make their denominators the same. Multiply 53 times \frac{x}{x}.
\frac{9\times 6-53x}{x}
Since \frac{9\times 6}{x} and \frac{53x}{x} have the same denominator, subtract them by subtracting their numerators.
\frac{54-53x}{x}
Do the multiplications in 9\times 6-53x.
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}