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\left(-6-\frac{\frac{2\times 15}{5}\times 17}{17}\right)\left(-2+\frac{6\times 2}{2}\right)\times 0-\left(\frac{-2\times 51}{17}-\left(-2-2\right)\right)
Divide -36 by 6 to get -6.
\left(-6-\frac{2\times 15}{5}\right)\left(-2+\frac{6\times 2}{2}\right)\times 0-\left(\frac{-2\times 51}{17}-\left(-2-2\right)\right)
Cancel out 17 and 17.
\left(-6-\frac{30}{5}\right)\left(-2+\frac{6\times 2}{2}\right)\times 0-\left(\frac{-2\times 51}{17}-\left(-2-2\right)\right)
Multiply 2 and 15 to get 30.
\left(-6-6\right)\left(-2+\frac{6\times 2}{2}\right)\times 0-\left(\frac{-2\times 51}{17}-\left(-2-2\right)\right)
Divide 30 by 5 to get 6.
-12\left(-2+\frac{6\times 2}{2}\right)\times 0-\left(\frac{-2\times 51}{17}-\left(-2-2\right)\right)
Subtract 6 from -6 to get -12.
-12\left(-2+6\right)\times 0-\left(\frac{-2\times 51}{17}-\left(-2-2\right)\right)
Cancel out 2 and 2.
-12\times 4\times 0-\left(\frac{-2\times 51}{17}-\left(-2-2\right)\right)
Add -2 and 6 to get 4.
-48\times 0-\left(\frac{-2\times 51}{17}-\left(-2-2\right)\right)
Multiply -12 and 4 to get -48.
0-\left(\frac{-2\times 51}{17}-\left(-2-2\right)\right)
Multiply -48 and 0 to get 0.
0-\left(\frac{-102}{17}-\left(-2-2\right)\right)
Multiply -2 and 51 to get -102.
0-\left(-6-\left(-2-2\right)\right)
Divide -102 by 17 to get -6.
0-\left(-6-\left(-4\right)\right)
Subtract 2 from -2 to get -4.
0-\left(-6+4\right)
The opposite of -4 is 4.
0-\left(-2\right)
Add -6 and 4 to get -2.
0+2
The opposite of -2 is 2.
2
Add 0 and 2 to get 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}