Evaluate
-10
Factor
-10
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-6-\frac{1\times 2+1}{2}-\frac{5}{2}
Multiply 6 and -1 to get -6.
-6-\frac{2+1}{2}-\frac{5}{2}
Multiply 1 and 2 to get 2.
-6-\frac{3}{2}-\frac{5}{2}
Add 2 and 1 to get 3.
-\frac{12}{2}-\frac{3}{2}-\frac{5}{2}
Convert -6 to fraction -\frac{12}{2}.
\frac{-12-3}{2}-\frac{5}{2}
Since -\frac{12}{2} and \frac{3}{2} have the same denominator, subtract them by subtracting their numerators.
-\frac{15}{2}-\frac{5}{2}
Subtract 3 from -12 to get -15.
\frac{-15-5}{2}
Since -\frac{15}{2} and \frac{5}{2} have the same denominator, subtract them by subtracting their numerators.
\frac{-20}{2}
Subtract 5 from -15 to get -20.
-10
Divide -20 by 2 to get -10.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}