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\frac{|-3-3|+9}{-5}-\left(-3\right)
Divide -12 by 4 to get -3.
\frac{|-6|+9}{-5}-\left(-3\right)
Subtract 3 from -3 to get -6.
\frac{6+9}{-5}-\left(-3\right)
The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -6 is 6.
\frac{15}{-5}-\left(-3\right)
Add 6 and 9 to get 15.
-3-\left(-3\right)
Divide 15 by -5 to get -3.
-3+3
The opposite of -3 is 3.
0
Add -3 and 3 to get 0.
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}