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Simplifying (4x2) + x + 29 = 0 Reorder the terms: 29 + x + (4x2) = 0 Solving 29 + x + (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'. 7.25 + 0.25x + x2 = 0 Move the constant term to the right: Add '-7.25' to each side of the equation. 7.25 + 0.25x + -7.25 + x2 = 0 + -7.25 Reorder the terms: 7.25 + -7.25 + 0.25x + x2 = 0 + -7.25 Combine like terms: 7.25 + -7.25 = 0.00 0.00 + 0.25x + x2 = 0 + -7.25 0.25x + x2 = 0 + -7.25 Combine like terms: 0 + -7.25 = -7.25 0.25x + x2 = -7.25 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. 0.25x + 0.25 + x2 = -7.25 + 0.25 Reorder the terms: 0.25 + 0.25x + x2 = -7.25 + 0.25 Combine like terms: -7.25 + 0.25 = -7 0.25 + 0.25x + x2 = -7 Factor a perfect square on the left side: ((x) + 0.5)((x) + 0.5) = -7 Can't calculate square root of the right side. The solution to this equation could not be determined.
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