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Simplifying 4x2 + -9x + 9 = -21 Reorder the terms: 9 + -9x + 4x2 = -21 Solving 9 + -9x + 4x2 = -21 Solving for variable 'x'. Reorder the terms: 9 + 21 + -9x + 4x2 = -21 + 21 Combine like terms: 9 + 21 = 30 30 + -9x + 4x2 = -21 + 21 Combine like terms: -21 + 21 = 0 30 + -9x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 7.5 + -2.25x + x2 = 0 Move the constant term to the right: Add '-7.5' to each side of the equation. 7.5 + -2.25x + -7.5 + x2 = 0 + -7.5 Reorder the terms: 7.5 + -7.5 + -2.25x + x2 = 0 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -2.25x + x2 = 0 + -7.5 -2.25x + x2 = 0 + -7.5 Combine like terms: 0 + -7.5 = -7.5 -2.25x + x2 = -7.5 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 = -7.5 + 1.265625 Reorder the terms: 1.265625 + -2.25x + x2 = -7.5 + 1.265625 Combine like terms: -7.5 + 1.265625 = -6.234375 1.265625 + -2.25x + x2 = -6.234375 Factor a perfect square on the left side: (x + -1.125)(x + -1.125) = -6.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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