Solve 484+1156=2AM^2+24^2

$$484 + 1156 = 2 A M ^ { 2 } + 24 ^ { 2 }$$

Solve for A

$$A=\frac{532}{M^{2}}$$

$$M\neq 0$$

Steps for Solving Linear Equation

Add 484 and 1156 to get 1640.

$$1640=2AM^{2}+24^{2}$$

Calculate 24 to the power of 2 and get 576.

$$1640=2AM^{2}+576$$

Swap sides so that all variable terms are on the left hand side.

$$2AM^{2}+576=1640$$

Subtract 576 from both sides.

$$2AM^{2}=1640-576$$

Subtract 576 from 1640 to get 1064.

$$2AM^{2}=1064$$

The equation is in standard form.

$$2M^{2}A=1064$$

Divide both sides by 2M^{2}.

$$\frac{2M^{2}A}{2M^{2}}=\frac{1064}{2M^{2}}$$

Dividing by 2M^{2} undoes the multiplication by 2M^{2}.

$$A=\frac{1064}{2M^{2}}$$

Divide 1064 by 2M^{2}.

$$A=\frac{532}{M^{2}}$$

Solve for M

$$M=2\sqrt{\frac{133}{A}}$$

$$M=-2\sqrt{\frac{133}{A}}\text{, }A>0$$