Solve 2b-c^2+6=0

$$2 b - c ^ { 2 } + 6 = 0$$

Solve for b

$$b=\frac{c^{2}-6}{2}$$

Steps for Solving Linear Equation

Add c^{2} to both sides. Anything plus zero gives itself.

$$2b+6=c^{2}$$

Subtract 6 from both sides.

$$2b=c^{2}-6$$

Divide both sides by 2.

$$\frac{2b}{2}=\frac{c^{2}-6}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$b=\frac{c^{2}-6}{2}$$

Divide c^{2}-6 by 2.

$$b=\frac{c^{2}}{2}-3$$

Solve for c (complex solution)

$$c=-\sqrt{2\left(b+3\right)}$$

$$c=\sqrt{2\left(b+3\right)}$$

Solve for c

$$c=\sqrt{2\left(b+3\right)}$$

$$c=-\sqrt{2\left(b+3\right)}\text{, }b\geq -3$$