How do you solve this equation?

5 + 40x = -80x²

5 + 40x = -80x²

80x² + 40x + 5 = 0 {added 80x² to both sides}

5(16x² + 8x + 1) = 0 {factored 5 out}

5(4x + 1)(4x + 1) = 0 {factored into two binomials}

4x + 1 = 0 {set the factors equal to 0, excluding the 5}

4x = -1 {subtracted 1 from both sides}

**x = -1/4**{divided both sides by 4}

*© Algebra House*