Evaluate
\frac{15\left(x-4\right)}{14}
Expand
\frac{15x}{14}-\frac{30}{7}
Graph
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\frac{15}{14}\left(x-4\right)
Fraction \frac{-15}{-14} can be simplified to \frac{15}{14} by removing the negative sign from both the numerator and the denominator.
\frac{15}{14}x+\frac{15}{14}\left(-4\right)
Use the distributive property to multiply \frac{15}{14} by x-4.
\frac{15}{14}x+\frac{15\left(-4\right)}{14}
Express \frac{15}{14}\left(-4\right) as a single fraction.
\frac{15}{14}x+\frac{-60}{14}
Multiply 15 and -4 to get -60.
\frac{15}{14}x-\frac{30}{7}
Reduce the fraction \frac{-60}{14} to lowest terms by extracting and canceling out 2.
\frac{15}{14}\left(x-4\right)
Fraction \frac{-15}{-14} can be simplified to \frac{15}{14} by removing the negative sign from both the numerator and the denominator.
\frac{15}{14}x+\frac{15}{14}\left(-4\right)
Use the distributive property to multiply \frac{15}{14} by x-4.
\frac{15}{14}x+\frac{15\left(-4\right)}{14}
Express \frac{15}{14}\left(-4\right) as a single fraction.
\frac{15}{14}x+\frac{-60}{14}
Multiply 15 and -4 to get -60.
\frac{15}{14}x-\frac{30}{7}
Reduce the fraction \frac{-60}{14} to lowest terms by extracting and canceling out 2.
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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
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Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}