Solve q=(8.2-3t)(1-2t)

$$q = ( 8.2 - 3 t ) ( 1 - 2 t )$$

Solve for q

$$q=6t^{2}-\frac{97t}{5}+8.2$$

Solution Steps

Use the distributive property to multiply 8.2-3t by 1-2t and combine like terms.

$$q=8.2-19.4t+6t^{2}$$

Solve for t (complex solution)

$$t=-\frac{\sqrt{24q+179.56}}{12}+\frac{97}{60}$$

$$t=\frac{\sqrt{24q+179.56}}{12}+\frac{97}{60}$$

Solve for t

$$t=-\frac{\sqrt{24q+179.56}}{12}+\frac{97}{60}$$

$$t=\frac{\sqrt{24q+179.56}}{12}+\frac{97}{60}\text{, }q\geq -\frac{4489}{600}$$