Solve A=(5-t)(3+2t)

$$A = ( 5 - t ) ( 3 + 2 t )$$

Solve for A

$$A=-\left(t-5\right)\left(2t+3\right)$$

Solution Steps

Use the distributive property to multiply 5-t by 3+2t and combine like terms.

$$A=15+7t-2t^{2}$$

Solve for t (complex solution)

$$t=\frac{\sqrt{169-8A}+7}{4}$$

$$t=\frac{-\sqrt{169-8A}+7}{4}$$

Solve for t

$$t=\frac{\sqrt{169-8A}+7}{4}$$

$$t=\frac{-\sqrt{169-8A}+7}{4}\text{, }A\leq \frac{169}{8}$$