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Simplifying 4x2 + 20x + 33 = 0 Reorder the terms: 33 + 20x + 4x2 = 0 Solving 33 + 20x + 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'. 8.25 + 5x + x2 = 0 Move the constant term to the right: Add '-8.25' to each side of the equation. 8.25 + 5x + -8.25 + x2 = 0 + -8.25 Reorder the terms: 8.25 + -8.25 + 5x + x2 = 0 + -8.25 Combine like terms: 8.25 + -8.25 = 0.00 0.00 + 5x + x2 = 0 + -8.25 5x + x2 = 0 + -8.25 Combine like terms: 0 + -8.25 = -8.25 5x + x2 = -8.25 The x term is 5x. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5x + 6.25 + x2 = -8.25 + 6.25 Reorder the terms: 6.25 + 5x + x2 = -8.25 + 6.25 Combine like terms: -8.25 + 6.25 = -2 6.25 + 5x + x2 = -2 Factor a perfect square on the left side: (x + 2.5)(x + 2.5) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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