Solve for x
x=0
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0=12x
Variable x cannot be equal to \frac{1}{3} since division by zero is not defined. Multiply both sides of the equation by \left(3x-1\right)^{2}.
12x=0
Swap sides so that all variable terms are on the left hand side.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 12 is not equal to 0, x must be equal to 0.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
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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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}