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Simplifying 4x2 + 11x + 78 = 0 Reorder the terms: 78 + 11x + 4x2 = 0 Solving 78 + 11x + 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'. 19.5 + 2.75x + x2 = 0 Move the constant term to the right: Add '-19.5' to each side of the equation. 19.5 + 2.75x + -19.5 + x2 = 0 + -19.5 Reorder the terms: 19.5 + -19.5 + 2.75x + x2 = 0 + -19.5 Combine like terms: 19.5 + -19.5 = 0.0 0.0 + 2.75x + x2 = 0 + -19.5 2.75x + x2 = 0 + -19.5 Combine like terms: 0 + -19.5 = -19.5 2.75x + x2 = -19.5 The x term is 2.75x. Take half its coefficient (1.375). Square it (1.890625) and add it to both sides. Add '1.890625' to each side of the equation. 2.75x + 1.890625 + x2 = -19.5 + 1.890625 Reorder the terms: 1.890625 + 2.75x + x2 = -19.5 + 1.890625 Combine like terms: -19.5 + 1.890625 = -17.609375 1.890625 + 2.75x + x2 = -17.609375 Factor a perfect square on the left side: (x + 1.375)(x + 1.375) = -17.609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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