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Simplifying 4x2 + 9x + 45 = 0 Reorder the terms: 45 + 9x + 4x2 = 0 Solving 45 + 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'. 11.25 + 2.25x + x2 = 0 Move the constant term to the right: Add '-11.25' to each side of the equation. 11.25 + 2.25x + -11.25 + x2 = 0 + -11.25 Reorder the terms: 11.25 + -11.25 + 2.25x + x2 = 0 + -11.25 Combine like terms: 11.25 + -11.25 = 0.00 0.00 + 2.25x + x2 = 0 + -11.25 2.25x + x2 = 0 + -11.25 Combine like terms: 0 + -11.25 = -11.25 2.25x + x2 = -11.25 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 = -11.25 + 1.265625 Reorder the terms: 1.265625 + 2.25x + x2 = -11.25 + 1.265625 Combine like terms: -11.25 + 1.265625 = -9.984375 1.265625 + 2.25x + x2 = -9.984375 Factor a perfect square on the left side: (x + 1.125)(x + 1.125) = -9.984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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