Solve 3div10sqrt{11}=10sqrt{11}divx

$$3 \div 10 \sqrt{ 11 } =10 \sqrt{ 11 } \div x$$

Solve for x

$$x = \frac{100}{3} = 33\frac{1}{3} \approx 33.333333333$$

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 10x, the least common multiple of 10,x.

$$\frac{3}{10}\sqrt{11}\times 10x=10\times 10\sqrt{11}$$

Cancel out 10 and 10.

$$3\sqrt{11}x=10\times 10\sqrt{11}$$

Multiply 10 and 10 to get 100.

$$3\sqrt{11}x=100\sqrt{11}$$

Divide both sides by 3\sqrt{11}.

$$\frac{3\sqrt{11}x}{3\sqrt{11}}=\frac{100\sqrt{11}}{3\sqrt{11}}$$

Dividing by 3\sqrt{11} undoes the multiplication by 3\sqrt{11}.

$$x=\frac{100\sqrt{11}}{3\sqrt{11}}$$

Divide 100\sqrt{11} by 3\sqrt{11}.

$$x=\frac{100}{3}$$