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2x^{2}-5x-10
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2x^{2}-5x-10
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2x^{2}-\left(-3x^{2}-2x+3-5x^{2}+7x+8x^{2}\right)-7
To find the opposite of 5x^{2}-7x, find the opposite of each term.
2x^{2}-\left(-8x^{2}-2x+3+7x+8x^{2}\right)-7
Combine -3x^{2} and -5x^{2} to get -8x^{2}.
2x^{2}-\left(-8x^{2}+5x+3+8x^{2}\right)-7
Combine -2x and 7x to get 5x.
2x^{2}-\left(5x+3\right)-7
Combine -8x^{2} and 8x^{2} to get 0.
2x^{2}-5x-3-7
To find the opposite of 5x+3, find the opposite of each term.
2x^{2}-5x-10
Subtract 7 from -3 to get -10.
2x^{2}-\left(-3x^{2}-2x+3-5x^{2}+7x+8x^{2}\right)-7
To find the opposite of 5x^{2}-7x, find the opposite of each term.
2x^{2}-\left(-8x^{2}-2x+3+7x+8x^{2}\right)-7
Combine -3x^{2} and -5x^{2} to get -8x^{2}.
2x^{2}-\left(-8x^{2}+5x+3+8x^{2}\right)-7
Combine -2x and 7x to get 5x.
2x^{2}-\left(5x+3\right)-7
Combine -8x^{2} and 8x^{2} to get 0.
2x^{2}-5x-3-7
To find the opposite of 5x+3, find the opposite of each term.
2x^{2}-5x-10
Subtract 7 from -3 to get -10.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}