Solve 20divx=4/7sqrt{5}

$$20 \div x= \frac{ 4 }{ 7 \sqrt{ 5 } }$$

Solve for x

$$x=35\sqrt{5}\approx 78.262379212$$

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 x.

$$20=\frac{1}{35}x\times 5^{\frac{1}{2}}\times 4$$

Multiply \frac{1}{35} and 4 to get \frac{4}{35}.

$$20=\frac{4}{35}x\times 5^{\frac{1}{2}}$$

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

$$\frac{4}{35}x\times 5^{\frac{1}{2}}=20$$

Reorder the terms.

$$\frac{4}{35}\sqrt{5}x=20$$

The equation is in standard form.

$$\frac{4\sqrt{5}}{35}x=20$$

Divide both sides by \frac{4}{35}\sqrt{5}.

$$\frac{35\times \frac{4\sqrt{5}}{35}x}{4\sqrt{5}}=\frac{20\times 35}{4\sqrt{5}}$$

Dividing by \frac{4}{35}\sqrt{5} undoes the multiplication by \frac{4}{35}\sqrt{5}.

$$x=\frac{20\times 35}{4\sqrt{5}}$$

Divide 20 by \frac{4}{35}\sqrt{5}.

$$x=35\sqrt{5}$$