Evaluate
-\frac{61x}{12}+\frac{4}{5}
Expand
-\frac{61x}{12}+\frac{4}{5}
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\frac{1}{2^{2}}x-4\left(\frac{4}{3}x-\frac{1}{5}\right)
Calculate 1 to the power of 2 and get 1.
\frac{1}{4}x-4\left(\frac{4}{3}x-\frac{1}{5}\right)
Calculate 2 to the power of 2 and get 4.
\frac{1}{4}x-4\times \frac{4}{3}x-4\left(-\frac{1}{5}\right)
Use the distributive property to multiply -4 by \frac{4}{3}x-\frac{1}{5}.
\frac{1}{4}x+\frac{-4\times 4}{3}x-4\left(-\frac{1}{5}\right)
Express -4\times \frac{4}{3} as a single fraction.
\frac{1}{4}x+\frac{-16}{3}x-4\left(-\frac{1}{5}\right)
Multiply -4 and 4 to get -16.
\frac{1}{4}x-\frac{16}{3}x-4\left(-\frac{1}{5}\right)
Fraction \frac{-16}{3} can be rewritten as -\frac{16}{3} by extracting the negative sign.
\frac{1}{4}x-\frac{16}{3}x+\frac{-4\left(-1\right)}{5}
Express -4\left(-\frac{1}{5}\right) as a single fraction.
\frac{1}{4}x-\frac{16}{3}x+\frac{4}{5}
Multiply -4 and -1 to get 4.
-\frac{61}{12}x+\frac{4}{5}
Combine \frac{1}{4}x and -\frac{16}{3}x to get -\frac{61}{12}x.
\frac{1}{2^{2}}x-4\left(\frac{4}{3}x-\frac{1}{5}\right)
Calculate 1 to the power of 2 and get 1.
\frac{1}{4}x-4\left(\frac{4}{3}x-\frac{1}{5}\right)
Calculate 2 to the power of 2 and get 4.
\frac{1}{4}x-4\times \frac{4}{3}x-4\left(-\frac{1}{5}\right)
Use the distributive property to multiply -4 by \frac{4}{3}x-\frac{1}{5}.
\frac{1}{4}x+\frac{-4\times 4}{3}x-4\left(-\frac{1}{5}\right)
Express -4\times \frac{4}{3} as a single fraction.
\frac{1}{4}x+\frac{-16}{3}x-4\left(-\frac{1}{5}\right)
Multiply -4 and 4 to get -16.
\frac{1}{4}x-\frac{16}{3}x-4\left(-\frac{1}{5}\right)
Fraction \frac{-16}{3} can be rewritten as -\frac{16}{3} by extracting the negative sign.
\frac{1}{4}x-\frac{16}{3}x+\frac{-4\left(-1\right)}{5}
Express -4\left(-\frac{1}{5}\right) as a single fraction.
\frac{1}{4}x-\frac{16}{3}x+\frac{4}{5}
Multiply -4 and -1 to get 4.
-\frac{61}{12}x+\frac{4}{5}
Combine \frac{1}{4}x and -\frac{16}{3}x to get -\frac{61}{12}x.
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}