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Simplifying -4x2 = -9x + 14 Reorder the terms: -4x2 = 14 + -9x Solving -4x2 = 14 + -9x Solving for variable 'x'. Reorder the terms: -14 + 9x + -4x2 = 14 + -9x + -14 + 9x Reorder the terms: -14 + 9x + -4x2 = 14 + -14 + -9x + 9x Combine like terms: 14 + -14 = 0 -14 + 9x + -4x2 = 0 + -9x + 9x -14 + 9x + -4x2 = -9x + 9x Combine like terms: -9x + 9x = 0 -14 + 9x + -4x2 = 0 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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