Solve 2xx=40000000

$$2 x x = 40000000$$

Solve for x

$$x=2000\sqrt{5}\approx 4472.135955$$

$$x=-2000\sqrt{5}\approx -4472.135955$$

Steps by Finding Square Root

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

$$2x^{2}=40000000$$

Divide both sides by 2.

$$x^{2}=\frac{40000000}{2}$$

Divide 40000000 by 2 to get 20000000.

$$x^{2}=20000000$$

Take the square root of both sides of the equation.

$$x=2000\sqrt{5} x=-2000\sqrt{5}$$

Steps Using the Quadratic Formula

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

$$2x^{2}=40000000$$

Subtract 40000000 from both sides.

$$2x^{2}-40000000=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 2 for a, 0 for b, and -40000000 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 2\left(-40000000\right)}}{2\times 2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 2\left(-40000000\right)}}{2\times 2}$$

Multiply -4 times 2.

$$x=\frac{0±\sqrt{-8\left(-40000000\right)}}{2\times 2}$$

Multiply -8 times -40000000.

$$x=\frac{0±\sqrt{320000000}}{2\times 2}$$

Take the square root of 320000000.

$$x=\frac{0±8000\sqrt{5}}{2\times 2}$$

Multiply 2 times 2.

$$x=\frac{0±8000\sqrt{5}}{4}$$

Now solve the equation x=\frac{0±8000\sqrt{5}}{4} when ± is plus.

$$x=2000\sqrt{5}$$

Now solve the equation x=\frac{0±8000\sqrt{5}}{4} when ± is minus.

$$x=-2000\sqrt{5}$$

The equation is now solved.

$$x=2000\sqrt{5} x=-2000\sqrt{5}$$