Solve for x (complex solution)
x\in \mathrm{C}
Solve for x
x\in \mathrm{R}
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2x^{2}-3=-7+4+2x^{2}
Multiply x and x to get x^{2}.
2x^{2}-3=-3+2x^{2}
Add -7 and 4 to get -3.
2x^{2}-3-\left(-3\right)=2x^{2}
Subtract -3 from both sides.
2x^{2}-3+3=2x^{2}
The opposite of -3 is 3.
2x^{2}-3+3-2x^{2}=0
Subtract 2x^{2} from both sides.
2x^{2}-2x^{2}=0
Add -3 and 3 to get 0.
0=0
Combine 2x^{2} and -2x^{2} to get 0.
\text{true}
Compare 0 and 0.
x\in \mathrm{C}
This is true for any x.
2x^{2}-3=-7+4+2x^{2}
Multiply x and x to get x^{2}.
2x^{2}-3=-3+2x^{2}
Add -7 and 4 to get -3.
2x^{2}-3-\left(-3\right)=2x^{2}
Subtract -3 from both sides.
2x^{2}-3+3=2x^{2}
The opposite of -3 is 3.
2x^{2}-3+3-2x^{2}=0
Subtract 2x^{2} from both sides.
2x^{2}-2x^{2}=0
Add -3 and 3 to get 0.
0=0
Combine 2x^{2} and -2x^{2} to get 0.
\text{true}
Compare 0 and 0.
x\in \mathrm{R}
This is true for any x.
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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}