Solve A=3a+5+2a+a^2-1-1

$$A = 3 a + 5 + 2 a + a ^ { 2 } - 1 - 1$$

Solve for A

$$A=a^{2}+5a+3$$

Solution Steps

Combine 3a and 2a to get 5a.

$$A=5a+5+a^{2}-1-1$$

Subtract 1 from 5 to get 4.

$$A=5a+4+a^{2}-1$$

Subtract 1 from 4 to get 3.

$$A=5a+3+a^{2}$$

Solve for a (complex solution)

$$a=\frac{\sqrt{4A+13}-5}{2}$$

$$a=\frac{-\sqrt{4A+13}-5}{2}$$

Solve for a

$$a=\frac{\sqrt{4A+13}-5}{2}$$

$$a=\frac{-\sqrt{4A+13}-5}{2}\text{, }A\geq -\frac{13}{4}$$