Solve 3x^2-43=2b

$$3 x ^ { 2 } - 43 = 2 b$$

Solve for b

$$b=\frac{3x^{2}-43}{2}$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$2b=3x^{2}-43$$

Divide both sides by 2.

$$\frac{2b}{2}=\frac{3x^{2}-43}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$b=\frac{3x^{2}-43}{2}$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{6b+129}}{3}$$

$$x=\frac{\sqrt{6b+129}}{3}$$

Solve for x

$$x=\frac{\sqrt{6b+129}}{3}$$

$$x=-\frac{\sqrt{6b+129}}{3}\text{, }b\geq -\frac{43}{2}$$