Solve 4m^2=400000m^2

$$4 m ^ { 2 } = 400000 m ^ { 2 }$$

Solve for m

$$m=0$$

Steps by Finding Square Root

Subtract 400000m^{2} from both sides.

$$4m^{2}-400000m^{2}=0$$

Combine 4m^{2} and -400000m^{2} to get -399996m^{2}.

$$-399996m^{2}=0$$

Divide both sides by -399996. Zero divided by any non-zero number gives zero.

$$m^{2}=0$$

Take the square root of both sides of the equation.

$$m=0 m=0$$

The equation is now solved. Solutions are the same.

$$m=0$$

Steps Using the Quadratic Formula

Subtract 400000m^{2} from both sides.

$$4m^{2}-400000m^{2}=0$$

Combine 4m^{2} and -400000m^{2} to get -399996m^{2}.

$$-399996m^{2}=0$$

Divide both sides by -399996. Zero divided by any non-zero number gives zero.

$$m^{2}=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and 0 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$m=\frac{0±\sqrt{0^{2}}}{2}$$

Take the square root of 0^{2}.

$$m=\frac{0±0}{2}$$

Divide 0 by 2.

$$m=0$$