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Simplifying 4x2 + 7x + 24 = 0 Reorder the terms: 24 + 7x + 4x2 = 0 Solving 24 + 7x + 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'. 6 + 1.75x + x2 = 0 Move the constant term to the right: Add '-6' to each side of the equation. 6 + 1.75x + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + 1.75x + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 1.75x + x2 = 0 + -6 1.75x + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 1.75x + x2 = -6 The x term is 1.75x. Take half its coefficient (0.875). Square it (0.765625) and add it to both sides. Add '0.765625' to each side of the equation. 1.75x + 0.765625 + x2 = -6 + 0.765625 Reorder the terms: 0.765625 + 1.75x + x2 = -6 + 0.765625 Combine like terms: -6 + 0.765625 = -5.234375 0.765625 + 1.75x + x2 = -5.234375 Factor a perfect square on the left side: (x + 0.875)(x + 0.875) = -5.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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