Solve 6m^2+7M+2=0

$$6 m ^ { 2 } + 7 M + 2 = 0$$

Solve for M

$$M=\frac{-6m^{2}-2}{7}$$

Steps for Solving Linear Equation

Subtract 6m^{2} from both sides. Anything subtracted from zero gives its negation.

$$7M+2=-6m^{2}$$

Subtract 2 from both sides.

$$7M=-6m^{2}-2$$

Divide both sides by 7.

$$\frac{7M}{7}=\frac{-6m^{2}-2}{7}$$

Dividing by 7 undoes the multiplication by 7.

$$M=\frac{-6m^{2}-2}{7}$$

Solve for m (complex solution)

$$m=-\frac{\sqrt{-42M-12}}{6}$$

$$m=\frac{\sqrt{-42M-12}}{6}$$

Solve for m

$$m=\frac{\sqrt{-42M-12}}{6}$$

$$m=-\frac{\sqrt{-42M-12}}{6}\text{, }M\leq -\frac{2}{7}$$