Solve d=(t+08)(t+12)

$$d = ( t + 08 ) ( t + 12 )$$

Solve for d

$$d=t\left(t+12\right)$$

Solution Steps

Multiply 0 and 8 to get 0.

$$d=\left(t+0\right)\left(t+12\right)$$

Anything plus zero gives itself.

$$d=t\left(t+12\right)$$

Use the distributive property to multiply t by t+12.

$$d=t^{2}+12t$$

Solve for t

$$t=-\sqrt{d+36}-6$$

$$t=\sqrt{d+36}-6\text{, }d\geq -36$$