Solve 5=470000/x+470000*(220*sqrt{2})

$$5= \frac{ 470000 }{ x+470000 } \times (220 \times \sqrt{ 2 } )$$

Solve for x

$$x=20680000\sqrt{2}-470000\approx 28775936.469875608$$

Steps for Solving Linear Equation

Variable x cannot be equal to -470000 since division by zero is not defined. Multiply both sides of the equation by x+470000.

$$5\left(x+470000\right)=470000\times 220\sqrt{2}$$

Use the distributive property to multiply 5 by x+470000.

$$5x+2350000=470000\times 220\sqrt{2}$$

Multiply 470000 and 220 to get 103400000.

$$5x+2350000=103400000\sqrt{2}$$

Subtract 2350000 from both sides.

$$5x=103400000\sqrt{2}-2350000$$

Divide both sides by 5.

$$\frac{5x}{5}=\frac{103400000\sqrt{2}-2350000}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$x=\frac{103400000\sqrt{2}-2350000}{5}$$

Divide 103400000\sqrt{2}-2350000 by 5.

$$x=20680000\sqrt{2}-470000$$