Solve c^2-14x+30=6

$$c ^ { 2 } - 14 x + 30 = 6$$

Solve for x

$$x=\frac{c^{2}+24}{14}$$

Steps for Solving Linear Equation

Subtract c^{2} from both sides.

$$-14x+30=6-c^{2}$$

Subtract 30 from both sides.

$$-14x=6-c^{2}-30$$

Subtract 30 from 6 to get -24.

$$-14x=-24-c^{2}$$

The equation is in standard form.

$$-14x=-c^{2}-24$$

Divide both sides by -14.

$$\frac{-14x}{-14}=\frac{-c^{2}-24}{-14}$$

Dividing by -14 undoes the multiplication by -14.

$$x=\frac{-c^{2}-24}{-14}$$

Divide -24-c^{2} by -14.

$$x=\frac{c^{2}}{14}+\frac{12}{7}$$

Solve for c (complex solution)

$$c=-\sqrt{14x-24}$$

$$c=\sqrt{14x-24}$$

Solve for c

$$c=\sqrt{14x-24}$$

$$c=-\sqrt{14x-24}\text{, }x\geq \frac{12}{7}$$