Solve 15*10*1/2=5sqrt{13}*x*1/2

$$15 \times 10 \times \frac{ 1 }{ 2 } =5 \sqrt{ 13 } \times x \times \frac{ 1 }{ 2 }$$

Solve for x

$$x = \frac{30 \sqrt{13}}{13} \approx 8.320502943$$

Steps for Solving Linear Equation

Cancel out \frac{1}{2} on both sides.

$$15\times 10=5\sqrt{13}x$$

Multiply 15 and 10 to get 150.

$$150=5\sqrt{13}x$$

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

$$5\sqrt{13}x=150$$

Divide both sides by 5\sqrt{13}.

$$\frac{5\sqrt{13}x}{5\sqrt{13}}=\frac{150}{5\sqrt{13}}$$

Dividing by 5\sqrt{13} undoes the multiplication by 5\sqrt{13}.

$$x=\frac{150}{5\sqrt{13}}$$

Divide 150 by 5\sqrt{13}.

$$x=\frac{30\sqrt{13}}{13}$$