Solve 339.99/x=sqrt{143.99}+sqrt{64.01}

$$\frac{ 339.99 }{ x } = \sqrt{ 143.99 } + \sqrt{ 64.01 }$$

Solve for x

$$x = \frac{124663 \sqrt{119} - 11333 \sqrt{6401}}{26660} \approx 16.999322951$$

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.

$$339.99=x\sqrt{143.99}+x\sqrt{64.01}$$

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

$$x\sqrt{143.99}+x\sqrt{64.01}=339.99$$

Combine all terms containing x.

$$\left(\sqrt{143.99}+\sqrt{64.01}\right)x=339.99$$

The equation is in standard form.

$$\left(\sqrt{64.01}+\sqrt{143.99}\right)x=339.99$$

Divide both sides by \sqrt{143.99}+\sqrt{64.01}.

$$\frac{\left(\sqrt{64.01}+\sqrt{143.99}\right)x}{\sqrt{64.01}+\sqrt{143.99}}=\frac{339.99}{\sqrt{64.01}+\sqrt{143.99}}$$

Dividing by \sqrt{143.99}+\sqrt{64.01} undoes the multiplication by \sqrt{143.99}+\sqrt{64.01}.

$$x=\frac{339.99}{\sqrt{64.01}+\sqrt{143.99}}$$

Divide 339.99 by \sqrt{143.99}+\sqrt{64.01}.

$$x=\frac{124663\sqrt{119}-11333\sqrt{6401}}{26660}$$