Solving a quadratic equation

How do you solve this equation?
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}

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