Solve for x
x\neq -2
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1+x=x+2-1
Variable x cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by x+2.
1+x=x+1
Subtract 1 from 2 to get 1.
1+x-x=1
Subtract x from both sides.
1=1
Combine x and -x to get 0.
\text{true}
Compare 1 and 1.
x\in \mathrm{R}
This is true for any x.
x\in \mathrm{R}\setminus -2
Variable x cannot be equal to -2.
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]
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\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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