Solve 2400000mm=2400

$$2400000 mm = 2400$$

Solve for m

$$m=\frac{\sqrt{10}}{100}\approx 0.031622777$$

$$m=-\frac{\sqrt{10}}{100}\approx -0.031622777$$

Steps by Finding Square Root

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

$$2400000m^{2}=2400$$

Divide both sides by 2400000.

$$m^{2}=\frac{2400}{2400000}$$

Reduce the fraction \frac{2400}{2400000} to lowest terms by extracting and canceling out 2400.

$$m^{2}=\frac{1}{1000}$$

Take the square root of both sides of the equation.

$$m=\frac{\sqrt{10}}{100} m=-\frac{\sqrt{10}}{100}$$

Steps Using the Quadratic Formula

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

$$2400000m^{2}=2400$$

Subtract 2400 from both sides.

$$2400000m^{2}-2400=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 2400000 for a, 0 for b, and -2400 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$m=\frac{0±\sqrt{0^{2}-4\times 2400000\left(-2400\right)}}{2\times 2400000}$$

Square 0.

$$m=\frac{0±\sqrt{-4\times 2400000\left(-2400\right)}}{2\times 2400000}$$

Multiply -4 times 2400000.

$$m=\frac{0±\sqrt{-9600000\left(-2400\right)}}{2\times 2400000}$$

Multiply -9600000 times -2400.

$$m=\frac{0±\sqrt{23040000000}}{2\times 2400000}$$

Take the square root of 23040000000.

$$m=\frac{0±48000\sqrt{10}}{2\times 2400000}$$

Multiply 2 times 2400000.

$$m=\frac{0±48000\sqrt{10}}{4800000}$$

Now solve the equation m=\frac{0±48000\sqrt{10}}{4800000} when ± is plus.

$$m=\frac{\sqrt{10}}{100}$$

Now solve the equation m=\frac{0±48000\sqrt{10}}{4800000} when ± is minus.

$$m=-\frac{\sqrt{10}}{100}$$

The equation is now solved.

$$m=\frac{\sqrt{10}}{100} m=-\frac{\sqrt{10}}{100}$$