Solve b^2-b-30=y

$$b ^ { 2 } - b - 30 = y$$

Solve for y

$$y=\left(b-6\right)\left(b+5\right)$$

Solution Steps

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

$$y=b^{2}-b-30$$

Solve for b (complex solution)

$$b=\frac{\sqrt{4y+121}+1}{2}$$

$$b=\frac{-\sqrt{4y+121}+1}{2}$$

Solve for b

$$b=\frac{\sqrt{4y+121}+1}{2}$$

$$b=\frac{-\sqrt{4y+121}+1}{2}\text{, }y\geq -\frac{121}{4}$$