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-6x+18y-53
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-6x+18y-53
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-\left(34+6x-18y+12+2\right)-5
Use the distributive property to multiply 3 by 2x-6y+4.
-\left(46+6x-18y+2\right)-5
Add 34 and 12 to get 46.
-\left(48+6x-18y\right)-5
Add 46 and 2 to get 48.
-48-6x-\left(-18y\right)-5
To find the opposite of 48+6x-18y, find the opposite of each term.
-48-6x+18y-5
The opposite of -18y is 18y.
-53-6x+18y
Subtract 5 from -48 to get -53.
-\left(34+6x-18y+12+2\right)-5
Use the distributive property to multiply 3 by 2x-6y+4.
-\left(46+6x-18y+2\right)-5
Add 34 and 12 to get 46.
-\left(48+6x-18y\right)-5
Add 46 and 2 to get 48.
-48-6x-\left(-18y\right)-5
To find the opposite of 48+6x-18y, find the opposite of each term.
-48-6x+18y-5
The opposite of -18y is 18y.
-53-6x+18y
Subtract 5 from -48 to get -53.
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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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}