Solve for x (complex solution)
x\in \mathrm{C}
Solve for x
x\in \mathrm{R}
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2x^{2}+6x=2x^{2}+6x
Use the distributive property to multiply 2x by x+3.
2x^{2}+6x-2x^{2}=6x
Subtract 2x^{2} from both sides.
6x=6x
Combine 2x^{2} and -2x^{2} to get 0.
6x-6x=0
Subtract 6x from both sides.
0=0
Combine 6x and -6x to get 0.
\text{true}
Compare 0 and 0.
x\in \mathrm{C}
This is true for any x.
2x^{2}+6x=2x^{2}+6x
Use the distributive property to multiply 2x by x+3.
2x^{2}+6x-2x^{2}=6x
Subtract 2x^{2} from both sides.
6x=6x
Combine 2x^{2} and -2x^{2} to get 0.
6x-6x=0
Subtract 6x from both sides.
0=0
Combine 6x and -6x to get 0.
\text{true}
Compare 0 and 0.
x\in \mathrm{R}
This is true for any x.
Examples
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y = 3x + 4
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Matrix
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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}