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Simplifying 4x2 + 9x + 14 = 0 Reorder the terms: 14 + 9x + 4x2 = 0 Solving 14 + 9x + 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'. 3.5 + 2.25x + x2 = 0 Move the constant term to the right: Add '-3.5' to each side of the equation. 3.5 + 2.25x + -3.5 + x2 = 0 + -3.5 Reorder the terms: 3.5 + -3.5 + 2.25x + x2 = 0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 2.25x + x2 = 0 + -3.5 2.25x + x2 = 0 + -3.5 Combine like terms: 0 + -3.5 = -3.5 2.25x + x2 = -3.5 The x term is 2.25x. Take half its coefficient (1.125). Square it (1.265625) and add it to both sides. Add '1.265625' to each side of the equation. 2.25x + 1.265625 + x2 = -3.5 + 1.265625 Reorder the terms: 1.265625 + 2.25x + x2 = -3.5 + 1.265625 Combine like terms: -3.5 + 1.265625 = -2.234375 1.265625 + 2.25x + x2 = -2.234375 Factor a perfect square on the left side: (x + 1.125)(x + 1.125) = -2.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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