4=x( \frac{ 4 }{ x }
Solve for x
x\neq 0
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4x=x\times 4
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
x\in \mathrm{R}
This is true for any x.
x\in \mathrm{R}\setminus 0
Variable x cannot be equal to 0.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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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
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Limits
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