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Simplifying 5x2 + 17x + 24 = 0 Reorder the terms: 24 + 17x + 5x2 = 0 Solving 24 + 17x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 4.8 + 3.4x + x2 = 0 Move the constant term to the right: Add '-4.8' to each side of the equation. 4.8 + 3.4x + -4.8 + x2 = 0 + -4.8 Reorder the terms: 4.8 + -4.8 + 3.4x + x2 = 0 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + 3.4x + x2 = 0 + -4.8 3.4x + x2 = 0 + -4.8 Combine like terms: 0 + -4.8 = -4.8 3.4x + x2 = -4.8 The x term is 3.4x. Take half its coefficient (1.7). Square it (2.89) and add it to both sides. Add '2.89' to each side of the equation. 3.4x + 2.89 + x2 = -4.8 + 2.89 Reorder the terms: 2.89 + 3.4x + x2 = -4.8 + 2.89 Combine like terms: -4.8 + 2.89 = -1.91 2.89 + 3.4x + x2 = -1.91 Factor a perfect square on the left side: (x + 1.7)(x + 1.7) = -1.91 Can't calculate square root of the right side. The solution to this equation could not be determined.
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