Evaluate
-6x^{2}+49x-24
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-6x^{2}+49x-24
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4x^{2}+20x-5x\left(2x-1\right)+6\left(4x-4\right)
Use the distributive property to multiply 4x by x+5.
4x^{2}+20x-5x\left(2x-1\right)+24x-24
Use the distributive property to multiply 6 by 4x-4.
4x^{2}+20x-10x^{2}+5x+24x-24
Use the distributive property to multiply -5x by 2x-1.
-6x^{2}+20x+5x+24x-24
Combine 4x^{2} and -10x^{2} to get -6x^{2}.
-6x^{2}+25x+24x-24
Combine 20x and 5x to get 25x.
-6x^{2}+49x-24
Combine 25x and 24x to get 49x.
4x^{2}+20x-5x\left(2x-1\right)+6\left(4x-4\right)
Use the distributive property to multiply 4x by x+5.
4x^{2}+20x-5x\left(2x-1\right)+24x-24
Use the distributive property to multiply 6 by 4x-4.
4x^{2}+20x-10x^{2}+5x+24x-24
Use the distributive property to multiply -5x by 2x-1.
-6x^{2}+20x+5x+24x-24
Combine 4x^{2} and -10x^{2} to get -6x^{2}.
-6x^{2}+25x+24x-24
Combine 20x and 5x to get 25x.
-6x^{2}+49x-24
Combine 25x and 24x to get 49x.
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}