Evaluate
30
Factor
2\times 3\times 5
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\frac{-6+20}{-7}-\frac{2\times 6+4\times 5}{-1}
Multiply -3 and 2 to get -6. Multiply 4 and 5 to get 20.
\frac{14}{-7}-\frac{2\times 6+4\times 5}{-1}
Add -6 and 20 to get 14.
-2-\frac{2\times 6+4\times 5}{-1}
Divide 14 by -7 to get -2.
-2-\frac{12+20}{-1}
Multiply 2 and 6 to get 12. Multiply 4 and 5 to get 20.
-2-\frac{32}{-1}
Add 12 and 20 to get 32.
-2-\left(-32\right)
Fraction \frac{32}{-1} can be rewritten as -32 by extracting the negative sign.
-2+32
The opposite of -32 is 32.
30
Add -2 and 32 to get 30.
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}