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Simplifying 4x2 + 12x + 17 = 0 Reorder the terms: 17 + 12x + 4x2 = 0 Solving 17 + 12x + 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'. 4.25 + 3x + x2 = 0 Move the constant term to the right: Add '-4.25' to each side of the equation. 4.25 + 3x + -4.25 + x2 = 0 + -4.25 Reorder the terms: 4.25 + -4.25 + 3x + x2 = 0 + -4.25 Combine like terms: 4.25 + -4.25 = 0.00 0.00 + 3x + x2 = 0 + -4.25 3x + x2 = 0 + -4.25 Combine like terms: 0 + -4.25 = -4.25 3x + x2 = -4.25 The x term is 3x. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3x + 2.25 + x2 = -4.25 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -4.25 + 2.25 Combine like terms: -4.25 + 2.25 = -2 2.25 + 3x + x2 = -2 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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