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Simplifying 4x2 + 20x = -29 Reorder the terms: 20x + 4x2 = -29 Solving 20x + 4x2 = -29 Solving for variable 'x'. Reorder the terms: 29 + 20x + 4x2 = -29 + 29 Combine like terms: -29 + 29 = 0 29 + 20x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 7.25 + 5x + x2 = 0 Move the constant term to the right: Add '-7.25' to each side of the equation. 7.25 + 5x + -7.25 + x2 = 0 + -7.25 Reorder the terms: 7.25 + -7.25 + 5x + x2 = 0 + -7.25 Combine like terms: 7.25 + -7.25 = 0.00 0.00 + 5x + x2 = 0 + -7.25 5x + x2 = 0 + -7.25 Combine like terms: 0 + -7.25 = -7.25 5x + x2 = -7.25 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 = -7.25 + 6.25 Reorder the terms: 6.25 + 5x + x2 = -7.25 + 6.25 Combine like terms: -7.25 + 6.25 = -1 6.25 + 5x + x2 = -1 Factor a perfect square on the left side: (x + 2.5)(x + 2.5) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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