Solve x^2-75m+42=0

$$x ^ { 2 } - 75 m + 42 = 0$$

Solve for m

$$m=\frac{x^{2}+42}{75}$$

Steps for Solving Linear Equation

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

$$-75m+42=-x^{2}$$

Subtract 42 from both sides.

$$-75m=-x^{2}-42$$

Divide both sides by -75.

$$\frac{-75m}{-75}=\frac{-x^{2}-42}{-75}$$

Dividing by -75 undoes the multiplication by -75.

$$m=\frac{-x^{2}-42}{-75}$$

Divide -x^{2}-42 by -75.

$$m=\frac{x^{2}}{75}+\frac{14}{25}$$

Solve for x (complex solution)

$$x=-\sqrt{75m-42}$$

$$x=\sqrt{75m-42}$$

Solve for x

$$x=\sqrt{75m-42}$$

$$x=-\sqrt{75m-42}\text{, }m\geq \frac{14}{25}$$