Solve 3960000000/x=1.608x

$$\frac{ 3960000000 }{ x } = 1.608x$$

Solve for x

$$x = \frac{50000 \sqrt{4422}}{67} \approx 49625.462891183$$

$$x = -\frac{50000 \sqrt{4422}}{67} \approx -49625.462891183$$

Steps by Finding Square Root

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$3960000000=1.608xx$$

Multiply x and x to get x^{2}.

$$3960000000=1.608x^{2}$$

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

$$1.608x^{2}=3960000000$$

Divide both sides by 1.608.

$$x^{2}=\frac{3960000000}{1.608}$$

Expand \frac{3960000000}{1.608} by multiplying both numerator and the denominator by 1000.

$$x^{2}=\frac{3960000000000}{1608}$$

Reduce the fraction \frac{3960000000000}{1608} to lowest terms by extracting and canceling out 24.

$$x^{2}=\frac{165000000000}{67}$$

Take the square root of both sides of the equation.

$$x=\frac{50000\sqrt{4422}}{67} x=-\frac{50000\sqrt{4422}}{67}$$

Steps Using the Quadratic Formula

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$3960000000=1.608xx$$

Multiply x and x to get x^{2}.

$$3960000000=1.608x^{2}$$

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

$$1.608x^{2}=3960000000$$

Subtract 3960000000 from both sides.

$$1.608x^{2}-3960000000=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1.608 for a, 0 for b, and -3960000000 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 1.608\left(-3960000000\right)}}{2\times 1.608}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 1.608\left(-3960000000\right)}}{2\times 1.608}$$

Multiply -4 times 1.608.

$$x=\frac{0±\sqrt{-6.432\left(-3960000000\right)}}{2\times 1.608}$$

Multiply -6.432 times -3960000000.

$$x=\frac{0±\sqrt{25470720000}}{2\times 1.608}$$

Take the square root of 25470720000.

$$x=\frac{0±2400\sqrt{4422}}{2\times 1.608}$$

Multiply 2 times 1.608.

$$x=\frac{0±2400\sqrt{4422}}{3.216}$$

Now solve the equation x=\frac{0±2400\sqrt{4422}}{3.216} when ± is plus.

$$x=\frac{50000\sqrt{4422}}{67}$$

Now solve the equation x=\frac{0±2400\sqrt{4422}}{3.216} when ± is minus.

$$x=-\frac{50000\sqrt{4422}}{67}$$

The equation is now solved.

$$x=\frac{50000\sqrt{4422}}{67} x=-\frac{50000\sqrt{4422}}{67}$$