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Simplifying 4x2 + -9x = -9 Reorder the terms: -9x + 4x2 = -9 Solving -9x + 4x2 = -9 Solving for variable 'x'. Reorder the terms: 9 + -9x + 4x2 = -9 + 9 Combine like terms: -9 + 9 = 0 9 + -9x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 2.25 + -2.25x + x2 = 0 Move the constant term to the right: Add '-2.25' to each side of the equation. 2.25 + -2.25x + -2.25 + x2 = 0 + -2.25 Reorder the terms: 2.25 + -2.25 + -2.25x + x2 = 0 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + -2.25x + x2 = 0 + -2.25 -2.25x + x2 = 0 + -2.25 Combine like terms: 0 + -2.25 = -2.25 -2.25x + x2 = -2.25 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 = -2.25 + 1.265625 Reorder the terms: 1.265625 + -2.25x + x2 = -2.25 + 1.265625 Combine like terms: -2.25 + 1.265625 = -0.984375 1.265625 + -2.25x + x2 = -0.984375 Factor a perfect square on the left side: (x + -1.125)(x + -1.125) = -0.984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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