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Simplifying 4x2 + x + 13 = 0 Reorder the terms: 13 + x + 4x2 = 0 Solving 13 + 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'. 3.25 + 0.25x + x2 = 0 Move the constant term to the right: Add '-3.25' to each side of the equation. 3.25 + 0.25x + -3.25 + x2 = 0 + -3.25 Reorder the terms: 3.25 + -3.25 + 0.25x + x2 = 0 + -3.25 Combine like terms: 3.25 + -3.25 = 0.00 0.00 + 0.25x + x2 = 0 + -3.25 0.25x + x2 = 0 + -3.25 Combine like terms: 0 + -3.25 = -3.25 0.25x + x2 = -3.25 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 = -3.25 + 0.25 Reorder the terms: 0.25 + 0.25x + x2 = -3.25 + 0.25 Combine like terms: -3.25 + 0.25 = -3 0.25 + 0.25x + x2 = -3 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -3 Can't calculate square root of the right side. The solution to this equation could not be determined.
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