Solve m^2+300-444=0

$$m ^ { 2 } + 300 - 444 = 0$$

Solve for m

$$m=12$$

$$m=-12$$

Steps Using Difference of Squares

Subtract 444 from 300 to get -144.

$$m^{2}-144=0$$

Consider m^{2}-144. Rewrite m^{2}-144 as m^{2}-12^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(m-12\right)\left(m+12\right)=0$$

To find equation solutions, solve m-12=0 and m+12=0.

$$m=12 m=-12$$

Steps by Finding Square Root

Subtract 444 from 300 to get -144.

$$m^{2}-144=0$$

Add 144 to both sides. Anything plus zero gives itself.

$$m^{2}=144$$

Take the square root of both sides of the equation.

$$m=12 m=-12$$

Steps Using the Quadratic Formula

Subtract 444 from 300 to get -144.

$$m^{2}-144=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -144 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$m=\frac{0±\sqrt{0^{2}-4\left(-144\right)}}{2}$$

Square 0.

$$m=\frac{0±\sqrt{-4\left(-144\right)}}{2}$$

Multiply -4 times -144.

$$m=\frac{0±\sqrt{576}}{2}$$

Take the square root of 576.

$$m=\frac{0±24}{2}$$

Now solve the equation m=\frac{0±24}{2} when ± is plus. Divide 24 by 2.

$$m=12$$

Now solve the equation m=\frac{0±24}{2} when ± is minus. Divide -24 by 2.

$$m=-12$$

The equation is now solved.

$$m=12 m=-12$$