Evaluate
-\frac{1287x}{2}
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-\frac{1287x}{2}
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234x\left(\frac{5}{4}-\frac{16}{4}\right)
Convert 4 to fraction \frac{16}{4}.
234x\times \frac{5-16}{4}
Since \frac{5}{4} and \frac{16}{4} have the same denominator, subtract them by subtracting their numerators.
234x\left(-\frac{11}{4}\right)
Subtract 16 from 5 to get -11.
\frac{234\left(-11\right)}{4}x
Express 234\left(-\frac{11}{4}\right) as a single fraction.
\frac{-2574}{4}x
Multiply 234 and -11 to get -2574.
-\frac{1287}{2}x
Reduce the fraction \frac{-2574}{4} to lowest terms by extracting and canceling out 2.
234x\left(\frac{5}{4}-\frac{16}{4}\right)
Convert 4 to fraction \frac{16}{4}.
234x\times \frac{5-16}{4}
Since \frac{5}{4} and \frac{16}{4} have the same denominator, subtract them by subtracting their numerators.
234x\left(-\frac{11}{4}\right)
Subtract 16 from 5 to get -11.
\frac{234\left(-11\right)}{4}x
Express 234\left(-\frac{11}{4}\right) as a single fraction.
\frac{-2574}{4}x
Multiply 234 and -11 to get -2574.
-\frac{1287}{2}x
Reduce the fraction \frac{-2574}{4} to lowest terms by extracting and canceling out 2.
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}