Solve 2x=68+n+n+30^2-25^2

$$2 x = 68 + n + n + 30 ^ { 2 } - 25 ^ { 2 }$$

Solve for n

$$n = -\frac{343}{2} = -171\frac{1}{2} = -171.5$$

Steps for Solving Linear Equation

Combine n and n to get 2n.

$$2x=68+2n+30^{2}-25^{2}$$

Calculate 30 to the power of 2 and get 900.

$$2x=68+2n+900-25^{2}$$

Add 68 and 900 to get 968.

$$2x=968+2n-25^{2}$$

Calculate 25 to the power of 2 and get 625.

$$2x=968+2n-625$$

Subtract 625 from 968 to get 343.

$$2x=343+2n$$

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

$$343+2n=2x$$

Subtract 343 from both sides.

$$2n=2x-343$$

Divide both sides by 2.

$$\frac{2n}{2}=\frac{2x-343}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$n=\frac{2x-343}{2}$$

Divide 2x-343 by 2.

$$n=x-\frac{343}{2}$$

Solve for x

$$x = \frac{343}{2} = 171\frac{1}{2} = 171.5$$

Steps for Solving Linear Equation

Combine n and n to get 2n.

$$2x=68+2n+30^{2}-25^{2}$$

Calculate 30 to the power of 2 and get 900.

$$2x=68+2n+900-25^{2}$$

Add 68 and 900 to get 968.

$$2x=968+2n-25^{2}$$

Calculate 25 to the power of 2 and get 625.

$$2x=968+2n-625$$

Subtract 625 from 968 to get 343.

$$2x=343+2n$$

The equation is in standard form.

$$2x=2n+343$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{2n+343}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{2n+343}{2}$$

Divide 343+2n by 2.

$$x=n+\frac{343}{2}$$