Solve sqrt{45}-85/15x=0

$$\sqrt{ 45 } - \frac{ 85 }{ 15x } =0$$

Solve for x

$$x=\frac{17\sqrt{5}}{45}\approx 0.844736791$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 15x.

$$15x\sqrt{45}-85=0$$

Factor 45=3^{2}\times 5. Rewrite the square root of the product \sqrt{3^{2}\times 5} as the product of square roots \sqrt{3^{2}}\sqrt{5}. Take the square root of 3^{2}.

$$15x\times 3\sqrt{5}-85=0$$

Multiply 15 and 3 to get 45.

$$45x\sqrt{5}-85=0$$

Add 85 to both sides. Anything plus zero gives itself.

$$45x\sqrt{5}=85$$

The equation is in standard form.

$$45\sqrt{5}x=85$$

Divide both sides by 45\sqrt{5}.

$$\frac{45\sqrt{5}x}{45\sqrt{5}}=\frac{85}{45\sqrt{5}}$$

Dividing by 45\sqrt{5} undoes the multiplication by 45\sqrt{5}.

$$x=\frac{85}{45\sqrt{5}}$$

Divide 85 by 45\sqrt{5}.

$$x=\frac{17\sqrt{5}}{45}$$