Solve x+5/30=12b^2

$$\frac { x + 5 } { 30 } = 12 b ^ { 2 }$$

Solve for x

$$x=360b^{2}-5$$

Solution Steps

Multiply both sides of the equation by 30.

$$x+5=360b^{2}$$

Subtract 5 from both sides.

$$x=360b^{2}-5$$

Solve for b (complex solution)

$$b=-\frac{\sqrt{10\left(x+5\right)}}{60}$$

$$b=\frac{\sqrt{10\left(x+5\right)}}{60}$$

Solve for b

$$b=\frac{\sqrt{10\left(x+5\right)}}{60}$$

$$b=-\frac{\sqrt{10\left(x+5\right)}}{60}\text{, }x\geq -5$$