Solve 4g^2x-39x+2=0

$$4 g ^ { 2 } x - 39 x + 2 = 0$$

Solve for x (complex solution)

$$x=-\frac{2}{4g^{2}-39}$$

$$g\neq -\frac{\sqrt{39}}{2}\text{ and }g\neq \frac{\sqrt{39}}{2}$$

Steps for Solving Linear Equation

Subtract 2 from both sides. Anything subtracted from zero gives its negation.

$$4g^{2}x-39x=-2$$

Combine all terms containing x.

$$\left(4g^{2}-39\right)x=-2$$

Divide both sides by 4g^{2}-39.

$$\frac{\left(4g^{2}-39\right)x}{4g^{2}-39}=-\frac{2}{4g^{2}-39}$$

Dividing by 4g^{2}-39 undoes the multiplication by 4g^{2}-39.

$$x=-\frac{2}{4g^{2}-39}$$

Solve for x

$$x=-\frac{2}{4g^{2}-39}$$

$$|g|\neq \frac{\sqrt{39}}{2}$$

Steps for Solving Linear Equation

Subtract 2 from both sides. Anything subtracted from zero gives its negation.

$$4g^{2}x-39x=-2$$

Combine all terms containing x.

$$\left(4g^{2}-39\right)x=-2$$

Divide both sides by 4g^{2}-39.

$$\frac{\left(4g^{2}-39\right)x}{4g^{2}-39}=-\frac{2}{4g^{2}-39}$$

Dividing by 4g^{2}-39 undoes the multiplication by 4g^{2}-39.

$$x=-\frac{2}{4g^{2}-39}$$

Solve for g (complex solution)

$$g=-\frac{\sqrt{39-\frac{2}{x}}}{2}$$

$$g=\frac{\sqrt{39-\frac{2}{x}}}{2}\text{, }x\neq 0$$

Solve for g

$$g=\frac{\sqrt{39-\frac{2}{x}}}{2}$$

$$g=-\frac{\sqrt{39-\frac{2}{x}}}{2}\text{, }x\geq \frac{2}{39}\text{ or }x<0$$