Solve for x
x=\frac{5}{6}\approx 0.833333333
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\frac{64\left(-1\right)}{6}+8x+4=0
Express 64\left(-\frac{1}{6}\right) as a single fraction.
\frac{-64}{6}+8x+4=0
Multiply 64 and -1 to get -64.
-\frac{32}{3}+8x+4=0
Reduce the fraction \frac{-64}{6} to lowest terms by extracting and canceling out 2.
-\frac{32}{3}+8x+\frac{12}{3}=0
Convert 4 to fraction \frac{12}{3}.
\frac{-32+12}{3}+8x=0
Since -\frac{32}{3} and \frac{12}{3} have the same denominator, add them by adding their numerators.
-\frac{20}{3}+8x=0
Add -32 and 12 to get -20.
8x=\frac{20}{3}
Add \frac{20}{3} to both sides. Anything plus zero gives itself.
x=\frac{\frac{20}{3}}{8}
Divide both sides by 8.
x=\frac{20}{3\times 8}
Express \frac{\frac{20}{3}}{8} as a single fraction.
x=\frac{20}{24}
Multiply 3 and 8 to get 24.
x=\frac{5}{6}
Reduce the fraction \frac{20}{24} to lowest terms by extracting and canceling out 4.
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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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}