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Simplifying 4x2 + x + 105 = 0 Reorder the terms: 105 + x + 4x2 = 0 Solving 105 + 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'. 26.25 + 0.25x + x2 = 0 Move the constant term to the right: Add '-26.25' to each side of the equation. 26.25 + 0.25x + -26.25 + x2 = 0 + -26.25 Reorder the terms: 26.25 + -26.25 + 0.25x + x2 = 0 + -26.25 Combine like terms: 26.25 + -26.25 = 0.00 0.00 + 0.25x + x2 = 0 + -26.25 0.25x + x2 = 0 + -26.25 Combine like terms: 0 + -26.25 = -26.25 0.25x + x2 = -26.25 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 = -26.25 + 0.25 Reorder the terms: 0.25 + 0.25x + x2 = -26.25 + 0.25 Combine like terms: -26.25 + 0.25 = -26 0.25 + 0.25x + x2 = -26 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -26 Can't calculate square root of the right side. The solution to this equation could not be determined.
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