Solve for x
x=100\sqrt{3}+300\approx 473.205080757
Graph
Share
Copied to clipboard
3x-\sqrt{3}x=600
Multiply both sides of the equation by 3.
-\sqrt{3}x+3x=600
Reorder the terms.
\left(-\sqrt{3}+3\right)x=600
Combine all terms containing x.
\left(3-\sqrt{3}\right)x=600
The equation is in standard form.
\frac{\left(3-\sqrt{3}\right)x}{3-\sqrt{3}}=\frac{600}{3-\sqrt{3}}
Divide both sides by -\sqrt{3}+3.
x=\frac{600}{3-\sqrt{3}}
Dividing by -\sqrt{3}+3 undoes the multiplication by -\sqrt{3}+3.
x=100\sqrt{3}+300
Divide 600 by -\sqrt{3}+3.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
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}