Evaluate
-7\left(x-4\right)\left(x+2\right)
Expand
56+14x-7x^{2}
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5x-20-\left(7x+19\right)\left(x-4\right)
Use the distributive property to multiply 5 by x-4.
5x-20-\left(7x^{2}-28x+19x-76\right)
Apply the distributive property by multiplying each term of 7x+19 by each term of x-4.
5x-20-\left(7x^{2}-9x-76\right)
Combine -28x and 19x to get -9x.
5x-20-7x^{2}-\left(-9x\right)-\left(-76\right)
To find the opposite of 7x^{2}-9x-76, find the opposite of each term.
5x-20-7x^{2}+9x-\left(-76\right)
The opposite of -9x is 9x.
5x-20-7x^{2}+9x+76
The opposite of -76 is 76.
14x-20-7x^{2}+76
Combine 5x and 9x to get 14x.
14x+56-7x^{2}
Add -20 and 76 to get 56.
5x-20-\left(7x+19\right)\left(x-4\right)
Use the distributive property to multiply 5 by x-4.
5x-20-\left(7x^{2}-28x+19x-76\right)
Apply the distributive property by multiplying each term of 7x+19 by each term of x-4.
5x-20-\left(7x^{2}-9x-76\right)
Combine -28x and 19x to get -9x.
5x-20-7x^{2}-\left(-9x\right)-\left(-76\right)
To find the opposite of 7x^{2}-9x-76, find the opposite of each term.
5x-20-7x^{2}+9x-\left(-76\right)
The opposite of -9x is 9x.
5x-20-7x^{2}+9x+76
The opposite of -76 is 76.
14x-20-7x^{2}+76
Combine 5x and 9x to get 14x.
14x+56-7x^{2}
Add -20 and 76 to get 56.
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}