Solve 2x^2-298n+6000=0

$$2 x ^ { 2 } - 298 n + 6000 = 0$$

Solve for n

$$n=\frac{x^{2}+3000}{149}$$

Steps for Solving Linear Equation

Subtract 2x^{2} from both sides. Anything subtracted from zero gives its negation.

$$-298n+6000=-2x^{2}$$

Subtract 6000 from both sides.

$$-298n=-2x^{2}-6000$$

Divide both sides by -298.

$$\frac{-298n}{-298}=\frac{-2x^{2}-6000}{-298}$$

Dividing by -298 undoes the multiplication by -298.

$$n=\frac{-2x^{2}-6000}{-298}$$

Divide -2x^{2}-6000 by -298.

$$n=\frac{x^{2}+3000}{149}$$

Solve for x (complex solution)

$$x=-\sqrt{149n-3000}$$

$$x=\sqrt{149n-3000}$$

Solve for x

$$x=\sqrt{149n-3000}$$

$$x=-\sqrt{149n-3000}\text{, }n\geq \frac{3000}{149}$$