Solve 0.058=2*0.563/sqrt{3}x

$$0.058 = \frac { 2 \times 0.563 } { \sqrt { 3 } } x$$

Solve for x

$$x=\frac{29\sqrt{3}}{563}\approx 0.089217537$$

Steps for Solving Linear Equation

Multiply 2 and 0.563 to get 1.126.

$$0.058=\frac{1.126}{\sqrt{3}}x$$

Rationalize the denominator of \frac{1.126}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$0.058=\frac{1.126\sqrt{3}}{\left(\sqrt{3}\right)^{2}}x$$

The square of \sqrt{3} is 3.

$$0.058=\frac{1.126\sqrt{3}}{3}x$$

Divide 1.126\sqrt{3} by 3 to get \frac{563}{1500}\sqrt{3}.

$$0.058=\frac{563}{1500}\sqrt{3}x$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{563}{1500}\sqrt{3}x=0.058$$

The equation is in standard form.

$$\frac{563\sqrt{3}}{1500}x=0.058$$

Divide both sides by \frac{563}{1500}\sqrt{3}.

$$\frac{1500\times \frac{563\sqrt{3}}{1500}x}{563\sqrt{3}}=\frac{0.058\times 1500}{563\sqrt{3}}$$

Dividing by \frac{563}{1500}\sqrt{3} undoes the multiplication by \frac{563}{1500}\sqrt{3}.

$$x=\frac{0.058\times 1500}{563\sqrt{3}}$$

Divide 0.058 by \frac{563}{1500}\sqrt{3}.

$$x=\frac{29\sqrt{3}}{563}$$