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Simplifying 4x2 + 39x + 171 = 0 Reorder the terms: 171 + 39x + 4x2 = 0 Solving 171 + 39x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 42.75 + 9.75x + x2 = 0 Move the constant term to the right: Add '-42.75' to each side of the equation. 42.75 + 9.75x + -42.75 + x2 = 0 + -42.75 Reorder the terms: 42.75 + -42.75 + 9.75x + x2 = 0 + -42.75 Combine like terms: 42.75 + -42.75 = 0.00 0.00 + 9.75x + x2 = 0 + -42.75 9.75x + x2 = 0 + -42.75 Combine like terms: 0 + -42.75 = -42.75 9.75x + x2 = -42.75 The x term is 9.75x. Take half its coefficient (4.875). Square it (23.765625) and add it to both sides. Add '23.765625' to each side of the equation. 9.75x + 23.765625 + x2 = -42.75 + 23.765625 Reorder the terms: 23.765625 + 9.75x + x2 = -42.75 + 23.765625 Combine like terms: -42.75 + 23.765625 = -18.984375 23.765625 + 9.75x + x2 = -18.984375 Factor a perfect square on the left side: (x + 4.875)(x + 4.875) = -18.984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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