Solve 49=165-2*10*sqrt{65}*x

$$49=165-2 \times 10 \times \sqrt{ 65 } \times x$$

Solve for x

$$x=\frac{29\sqrt{65}}{325}\approx 0.719401461$$

Steps for Solving Linear Equation

Multiply 2 and 10 to get 20.

$$49=165-20\sqrt{65}x$$

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

$$165-20\sqrt{65}x=49$$

Subtract 165 from both sides.

$$-20\sqrt{65}x=49-165$$

Subtract 165 from 49 to get -116.

$$-20\sqrt{65}x=-116$$

The equation is in standard form.

$$\left(-20\sqrt{65}\right)x=-116$$

Divide both sides by -20\sqrt{65}.

$$\frac{\left(-20\sqrt{65}\right)x}{-20\sqrt{65}}=-\frac{116}{-20\sqrt{65}}$$

Dividing by -20\sqrt{65} undoes the multiplication by -20\sqrt{65}.

$$x=-\frac{116}{-20\sqrt{65}}$$

Divide -116 by -20\sqrt{65}.

$$x=\frac{29\sqrt{65}}{325}$$