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Simplifying (4x2) + 4x + 11 = 0 Reorder the terms: 11 + 4x + (4x2) = 0 Solving 11 + 4x + (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'. 2.75 + x + x2 = 0 Move the constant term to the right: Add '-2.75' to each side of the equation. 2.75 + x + -2.75 + x2 = 0 + -2.75 Reorder the terms: 2.75 + -2.75 + x + x2 = 0 + -2.75 Combine like terms: 2.75 + -2.75 = 0.00 0.00 + x + x2 = 0 + -2.75 x + x2 = 0 + -2.75 Combine like terms: 0 + -2.75 = -2.75 x + x2 = -2.75 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + x2 = -2.75 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = -2.75 + 0.25 Combine like terms: -2.75 + 0.25 = -2.5 1.25 + x2 = -2.5 Factor a perfect square on the left side: ((x) + 0.5)((x) + 0.5) = -2.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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