Solve 3x*2x=45000000

$$3x \times 2x=45000000$$

Solve for x

$$x=500\sqrt{30}\approx 2738.612787526$$

$$x=-500\sqrt{30}\approx -2738.612787526$$

Steps by Finding Square Root

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

$$3x^{2}\times 2=45000000$$

Multiply 3 and 2 to get 6.

$$6x^{2}=45000000$$

Divide both sides by 6.

$$x^{2}=\frac{45000000}{6}$$

Divide 45000000 by 6 to get 7500000.

$$x^{2}=7500000$$

Take the square root of both sides of the equation.

$$x=500\sqrt{30} x=-500\sqrt{30}$$

Steps Using the Quadratic Formula

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

$$3x^{2}\times 2=45000000$$

Multiply 3 and 2 to get 6.

$$6x^{2}=45000000$$

Subtract 45000000 from both sides.

$$6x^{2}-45000000=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 6 for a, 0 for b, and -45000000 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 6\left(-45000000\right)}}{2\times 6}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 6\left(-45000000\right)}}{2\times 6}$$

Multiply -4 times 6.

$$x=\frac{0±\sqrt{-24\left(-45000000\right)}}{2\times 6}$$

Multiply -24 times -45000000.

$$x=\frac{0±\sqrt{1080000000}}{2\times 6}$$

Take the square root of 1080000000.

$$x=\frac{0±6000\sqrt{30}}{2\times 6}$$

Multiply 2 times 6.

$$x=\frac{0±6000\sqrt{30}}{12}$$

Now solve the equation x=\frac{0±6000\sqrt{30}}{12} when ± is plus.

$$x=500\sqrt{30}$$

Now solve the equation x=\frac{0±6000\sqrt{30}}{12} when ± is minus.

$$x=-500\sqrt{30}$$

The equation is now solved.

$$x=500\sqrt{30} x=-500\sqrt{30}$$